Tootfinder

Matrix Product Operator Constructions for Gauge Theories in the Thermodynamic Limit
Nicholas Godfrey, Ian P. McCulloch
https://arxiv.org/abs/2508.14145 https://

Matrix Product Operator Constructions for Gauge Theories in the Thermodynamic Limit
We present a general method for simulating lattice gauge theories in low dimensions using infinite matrix product states (iMPS). A central challenge in Hamiltonian formulations of gauge theories is the unbounded local Hilbert space associated with gauge degrees of freedom. In one spatial dimension, Gauss's law permits these gauge fields to be integrated out, yielding an effective Hamiltonian with long-range interactions among matter fields. We construct efficient matrix product operator (MPO) r…

On the Lagrangian and fermion mass of the unified $SU(2) \otimes SU(4)$ gauge field theory
Eckart Marsch, Yasuhito Narita
https://arxiv.org/abs/2508.15332 https://

On the Lagrangian and fermion mass of the unified $SU(2) \otimes SU(4)$ gauge field theory
{In the Standard Model of elementary particles the fermions are assumed to be intrinsically massless. Here we propose a new theoretical idea of fermion mass generation (other than by the Higgs mechanism) through the coupling with the vector gauge fields of the unified $SU(2) \otimes SU(4)$ gauge symmetry, especially with the $Z$ boson of the weak interaction that affects all elementary fermions. The resulting small masses are suggested to be proportional to the self-energy of the $Z$ field as d…

Symmetry extension by condensation defects in five-dimensional gauge theories
Matteo Bertolini, Lorenzo Di Pietro, Stefano C. Lanza, Pierluigi Niro, Antonio Santaniello
https://arxiv.org/abs/2509.16165

Symmetry extension by condensation defects in five-dimensional gauge theories
We investigate the symmetry structure of five-dimensional Yang-Mills theories with $\mathfrak{su}(N)$ gauge algebra. These theories feature intertwined 0-, 1-, and 2-form symmetries, depending on the global variant one is considering. In the $SU(N)$ theory, there is a mixed 't Hooft anomaly between the instantonic 0-form symmetry and the electric 1-form symmetry. We show that in the $PSU(N)$ theory this translates into a $\mathbb{Z}_N$ extension of the instantonic symmetry, generated by an inve…

Scale AI launches SEAL Showdown, a public AI benchmarking system that relies on votes from contributors in 100 countries to gauge everyday usability of models (Agnee Ghosh/Bloomberg)
https://www.bloomberg.com/news/articles/20…

Exploring confinement transitions in $\mathbb{Z}_2$ lattice gauge theories with dipolar atoms beyond one dimension
Matja\v{z} Kebri\v{c}, Lin Su, Alexander Douglas, Michal Szurek, Ognjen Markovi\'c, Ulrich Schollw\"ock, Annabelle Bohrdt, Markus Greiner, Fabian Grusdt
https://arxiv.org/abs/2509.16200

Exploring confinement transitions in $\mathbb{Z}_2$ lattice gauge theories with dipolar atoms beyond one dimension
Confinement of particles into bound states is a phenomenon spanning from high-energy to condensed matter physics, which can be studied in the framework of lattice gauge theories (LGTs). Achieving a comprehensive understanding of confinement continues to pose a major challenge, in particular at finite matter density and in the presence of strong quantum fluctuations. State-of-the-art quantum simulators constitute a promising platform to address this problem. Here we study confinement in coupled …

Worldline Formulations of Covariant Fracton Theories
Filippo Fecit, Davide Rovere
https://arxiv.org/abs/2508.14591 https://arxiv.org/pdf/2508.14591

Worldline Formulations of Covariant Fracton Theories
We develop worldline formulations of covariant fracton gauge theories. These are a one-parameter family of gauge theories of a rank-two symmetric tensor field, invariant under a scalar gauge transformation involving a double derivative. These theories, which can be interpreted as linearized gravity theories invariant under longitudinal diffeomorphisms, provide a covariant framework for studying Lorentz-breaking fracton quasiparticles, which are excitations with restricted mobility due to dipole…

Prethermal gauge structure and surface growth in $\mathbb{Z}_2$ lattice gauge theories
Lukas Homeier, Andrea Pizzi, Hongzheng Zhao, Jad C. Halimeh, Fabian Grusdt, Ana Maria Rey
https://arxiv.org/abs/2510.12800

Prethermal gauge structure and surface growth in $\mathbb{Z}_2$ lattice gauge theories
Universal aspects of thermalization in interacting many-body systems are typically challenging to derive microscopically, yet provide a powerful framework for understanding emergent phenomena. Here, we numerically study the mean-field dynamics of a $(2+1)$D spin system with thousands of spins and show that experimentally-feasible two-body Ising interactions can stabilize a prethermal $\mathbb{Z}_2$ lattice gauge structure with dynamical matter, manifested by a gauge-invariant plateau with expon…

Cosmology with an emergent Standard Model
Steven D. Bass
https://arxiv.org/abs/2508.15289 https://arxiv.org/pdf/2508.15289…

Cosmology with an emergent Standard Model
We discuss new ideas that the Standard Model might be emergent with connection to electroweak vacuum stability and related consequences for cosmology. In this scenario, the gauge symmetries and particles of the Standard Model would be ``born'' in some phase transition at a large scale about $10^{16}$ GeV with the Standard Model parameters constrained by the requirement of vacuum stability.Emergent gauge symmetries are well known in condensed matter physics. Perhaps the Standard Model might also…

On completeness of modified wave operators for defocusing NLS
Vladimir Georgiev, Tohru Ozawa
https://arxiv.org/abs/2509.15921 https://arxiv.org/pdf/2509.15…

On completeness of modified wave operators for defocusing NLS
In this manuscript, we study modified scattering for the nonlinear defocusing Schrödinger equation with a critical gauge-invariant nonlinearity of order 1+2/n. We address the following question: Given initial data in an appropriate weighted Sobolev space, what is the leading term in the asymptotic behavior of the solution as times goes to infinity? More precisely, we seek a final state in a space of type similar to the space of the initial data such that the leading term is represented by th…

On bosonic vertex algebras associated with 3D reductions of Argyres-Douglas theories
Takahiro Nishinaka, Hikaru Sasaki
https://arxiv.org/abs/2508.15315 https://

On bosonic vertex algebras associated with 3D reductions of Argyres-Douglas theories
We study the bosonic VOA associated with the 3D $\mathcal{N}=4$ abelian linear quiver gauge theories arising from compactifying 4D $\mathcal{N}=2$ Argyres-Douglas theories of $(A_1,A_{2n-1})$ and $(A_1,D_{2n})$ types. These VOAs are obtained by cancelling the gauge anomaly of the H-twisted 3D theory on the half-space by Heisenberg algebras on the boundary. We particularly conjecture a complete set of strong generators of these bosonic VOAs, which contains more than the Virasoro stress tensor an…

Higher-form symmetries as higher automorphism bundles
Alonso Perez-Lona
https://arxiv.org/abs/2509.15301 https://arxiv.org/pdf/2509.15301

Higher-form symmetries as higher automorphism bundles
The notion of global higher-form symmetries has received much attention, but leaves room for a more systematic mathematical formulation. In this article, we highlight the concept of higher automorphism bundles from the field of higher categorical differential geometry and higher gauge theory, and we demonstrate that this neatly reproduces and clarifies many examples and phenomena discussed in the literature. We rigorously construct the higher-form symmetries of pure gauge theory of a general st…

The transverse-traceless gauge and the gauge problem of second order gravitational waves
Yadong Xue, Zhoujian Cao
https://arxiv.org/abs/2509.26159 https://…

The transverse-traceless gauge and the gauge problem of second order gravitational waves
The gauge problem arises in the second order gravitational waves due to the mode mixing. Here, we introduce the transverse-traceless (TT) gauge to cosmological backgrounds, and find that if we choose the TT gauge at first order, the second order tensor mode would be gauge invariant. Analogous to the Ricci flat spacetime, the vacuum condition is the key to guarantee the existence of the TT gauge on cosmological backgrounds. When we have the vacuum condition, the Poisson gauge, the uniform curvat…

Gauge symmetry and the arrow of time: How to count what counts
Sean Gryb
https://arxiv.org/abs/2509.14720 https://arxiv.org/pdf/2509.14720

Gauge symmetry and the arrow of time: How to count what counts
This thesis addresses two major problems in the philosophy of physics. The first is how to identify the minimal physical content of a theory; that is, what features of a theory are truly needed to make predictions, and what can be removed without changing its empirical consequences. The second is the problem of time's arrow: why time seems to have a direction, even though the fundamental laws of physics treat the past and future symmetrically. I show that answering the first question leads to…

Sculpting Topological Modes on Photonic Chips by Artificial Gauge Fields
Zhiyuan Lin, Jian Li, Wange Song, Xueyun Li, Haoran Xin, Xian Long, Chen Chen, Shining Zhu, Tao Li, Shuang Zhang
https://arxiv.org/abs/2509.10315

Sculpting Topological Modes on Photonic Chips by Artificial Gauge Fields
Significant efforts have been devoted to manipulating topological states, which often manifest as localized modes at interfaces between distinct topological phases. In this work, we demonstrate a versatile approach to sculpting topological modes (TMs) into any desired shapes by incorporating various artificial gauge fields (AGFs), including scalar, vector, and imaginary gauge potentials, and leveraging the power of artificial neural networks (ANNs). These AGFs enable precise tuning of the dissi…

Non-Abelian Gauge Theory of Spin Triplet Superconductivity and Spin Triplet Magnon Spintronics
Franklin H. Cho, Y. M. Cho, Pengming Zhang, Li-Ping Zou
https://arxiv.org/abs/2509.12988

Non-Abelian Gauge Theory of Spin Triplet Superconductivity and Spin Triplet Magnon Spintronics
We present an SU(2)xU(1) Ginzburg-Landau theory of the spin triplet ferromagnetic superconductivity which could also describe the physics of the spin triplet magnon spintronics, where the SU(2) gauge interaction of the magnon plays an important role. The theory is made of the massive photon, massless neutral magnon, massive non-Abelian magnon, and the Higgs scalar field which represents the density of the Copper pair. It has the following characteristic features, the long range magnetic interac…

Quantum Hierarchical Fokker-Planck Equations with U(1) Gauge Fields (U(1)-QHFPE): A Computational Framework for Aharonov-Bohm Effects
Shoki Koyanagi, Hyeonseok Yang, Yoshitaka Tanimura
https://arxiv.org/abs/2509.11195

Quantum Hierarchical Fokker-Planck Equations with U(1) Gauge Fields (U(1)-QHFPE): A Computational Framework for Aharonov-Bohm Effects
We introduce U(1)-QHFPE, a non-Markovian and non-perturbative open quantum dynamics software package for solving quantum Fokker-Planck equations incorporating gauge fields within the Hierarchical Equations of Motion (HEOM) formalism. The framework rigorously preserves gauge invariance and rotational symmetry, enabling accurate simulations of transport phenomena such as the Aharonov-Bohm effect under strong system-bath coupling. In this regime, quantum entanglement between the system and bath em…

Observation of $W^{ }W^{-}\gamma$ production in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector and constraints on anomalous quartic gauge-boson couplings
ATLAS Collaboration
https://arxiv.org/abs/2509.14070

Observation of $W^{+}W^{-}γ$ production in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector and constraints on anomalous quartic gauge-boson couplings
This Letter reports the observation of $W^{+}W^{-}γ$ triboson production in 140 fb$^{-1}$ of data collected by the ATLAS detector from proton-proton collisions at a centre-of-mass energy of $\sqrt{s}$ = 13 TeV at the LHC. Events with an opposite-charge $eμ$ pair, a high transverse-momentum photon, and significant missing transverse momentum are considered. The observed (expected) significance of the signal is 5.9 (6.0) standard deviations. The measured fiducial cross-section, defined for the …

BRIDGES Lectures: G2 in action, and a mathematical theory of exceptions
Laurent Manivel
https://arxiv.org/abs/2508.12757 https://arxiv.org/pdf/2508.12757…

BRIDGES Lectures: G2 in action, and a mathematical theory of exceptions
The BRIDGES meeting in gauge theory, extremal structures, and stability was held in June 2024 at l'Institut d'Études Scientifiques de Cargèse in Corsica, organized by Daniele Faenzi, Eveline Legendre, Eric Loubeau, and Henrique Sá Earp. The first week was a summer school consisting of four independent but related lecture series by Oscar García-Prada, Spiro Karigiannis, Laurent Manivel, and Ruxandra Moraru. The present document consists of notes for the lecture series by Laurent Manivel on t…

Crosslisted article(s) found for hep-lat. https://arxiv.org/list/hep-lat/new
[1/1]:
- Matrix Product Operator Constructions for Gauge Theories in the Thermodynamic Limit
Nicholas Godfrey, Ian P. McCulloch

Role of Ward-Takahashi identity in an electron-phonon coupled system -- Revisiting phonon shift current
Takahiro Morimoto, Naoto Nagaosa
https://arxiv.org/abs/2508.15347 https:/…

Role of Ward-Takahashi identity in an electron-phonon coupled system -- Revisiting phonon shift current
We study bulk photovoltaic effects in electron-phonon coupled systems. The conservation of current or gauge invariance, manifested as the Ward-Takahashi identity, plays an essential role in the analysis of the Feynman diagrams, and the leading order contribution to the phonon shift current is identified accordingly. The leading order contribution essentially arises from the electric polarization carried by optically excited phonons, where the shift current is generated due to a change of electr…

Chiral effective potential in $4D$, $\mathcal{N}=1$ supersymmetric gauge theories
I. L. Buchbinder, R. M. Iakhibbaev, A. I. Mukhaeva, D. I. Kazakov, D. M. Tolkachev
https://arxiv.org/abs/2508.14002

Chiral effective potential in $4D$, $\mathcal{N}=1$ supersymmetric gauge theories
We calculate the chiral effective superpotential in $4D$ $\mathcal{N}=1$, $SU(N)$ super Yang-Mills theory coupled to chiral matter in one- and two-loop approximations. It is found that the one-loop contribution to the chiral effective potential is always finite and is expressed in terms of a specific triangle integral. The two-loop contributions generated by purely chiral vertices turned out to be finite as well. The chiral effective potential stipulated by supergraphs with gauge superfield sub…

eIQ Neutron: Redefining Edge-AI Inference with Integrated NPU and Compiler Innovations
Lennart Bamberg, Filippo Minnella, Roberto Bosio, Fabrizio Ottati, Yuebin Wang, Jongmin Lee, Luciano Lavagno, Adam Fuks
https://arxiv.org/abs/2509.14388

eIQ Neutron: Redefining Edge-AI Inference with Integrated NPU and Compiler Innovations
Neural Processing Units (NPUs) are key to enabling efficient AI inference in resource-constrained edge environments. While peak tera operations per second (TOPS) is often used to gauge performance, it poorly reflects real-world performance and typically rather correlates with higher silicon cost. To address this, architects must focus on maximizing compute utilization, without sacrificing flexibility. This paper presents the eIQ Neutron efficient-NPU, integrated into a commercial flagship MPU, …

Translation Groups for arbitrary Gauge Fields in Synthetic Crystals with real hopping amplitudes
Marco Marciani
https://arxiv.org/abs/2508.08461 https://ar…

Translation Groups for arbitrary Gauge Fields in Synthetic Crystals with real hopping amplitudes
The Cayley-crystals introduced in [F. R. Lux and E. Prodan, Annales Henri Poincaré 25(8), 3563 (2024)] are a class of synthetic lattices whose Hamiltonians are symmetric under the simply transitive action of a generic discrete group G. We show that these systems naturally realize the generalization of the so-called magnetic translation groups to arbitrary discrete gauge groups. The one-body dynamics mimics that of a particle carrying multiple charges, each experiencing a distinct static gauge-…

Unification of Gravity and Standard Model: Weyl-Dirac-Born-Infeld action
D. M. Ghilencea
https://arxiv.org/abs/2508.10959 https://arxiv.org/pdf/2508.10959

Unification of Gravity and Standard Model: Weyl-Dirac-Born-Infeld action
We construct a unified (quantum) description by the gauge principle of gravity and Standard Model (SM), that extends the Dirac-Born-Infeld action to the SM and Weyl geometry in $d$ dimensions, hereafter called Weyl-Dirac-Born-Infeld action (WDBI). This action is a general gauge theory of SM and Weyl group (of dilatations and Poincaré symmetry), in the Weyl gauge covariant (metric) formulation of Weyl geometry. The theory is SM and Weyl gauge invariant in arbitrary $d$ dimensions, hence there i…

Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator
Jie Cao, Xianzhe Li, Baowei Wang, Qi Zhou
https://arxiv.org/abs/2509.09945

Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator
This paper focuses on the fractal characteristics of the absolutely continuous spectral measure of the subcritical almost Mathieu operator (AMO) and Diophantine frequency. In particular, we give a complete description of the (classical) multifractal spectrum and a finer description in the logarithmic gauge. The proof combines continued$-$fraction$/$metric Diophantine techniques and refined covering arguments. These results rigorously substantiate (and quantify in a refined gauge) the physicists…

Higher Gauge Flow Models
Alexander Strunk, Roland Assam
https://arxiv.org/abs/2507.16334 https://arxiv.org/pdf/2507.16334

Higher Gauge Flow Models
This paper introduces Higher Gauge Flow Models, a novel class of Generative Flow Models. Building upon ordinary Gauge Flow Models (arXiv:2507.13414), these Higher Gauge Flow Models leverage an L$_{\infty}$-algebra, effectively extending the Lie Algebra. This expansion allows for the integration of the higher geometry and higher symmetries associated with higher groups into the framework of Generative Flow Models. Experimental evaluation on a Gaussian Mixture Model dataset revealed substantial p…

BRIDGES Lectures: Flows of geometric structures, especially $\mathrm{G}_2$-structures
Spiro Karigiannis
https://arxiv.org/abs/2508.11604 https://arxiv.org/…

BRIDGES Lectures: Flows of geometric structures, especially $\mathrm{G}_2$-structures
The BRIDGES meeting in gauge theory, extremal structures, and stability was held June 2024 at l'Institut d'Études Scientifiques de Cargèse in Corsica, organized by Daniele Faenzi, Eveline Legendre, Eric Loubeau, and Henrique Sá Earp. The first week was a summer school consisting of four independent but related lecture series by Oscar García Prada, Spiro Karigiannis, Laurent Manivel, and Ruxandra Moraru. The present document consists of notes for the lecture series by Spiro Karigiannis on "F…

Quantum hierarchical Fokker-Planck equations with U(1) gauge fields: Application to the Aharonov-Bohm ring
Hyeonseok Yang, Shoki Koyanagi, Yoshitaka Tanimura
https://arxiv.org/abs/2509.11462

Quantum hierarchical Fokker-Planck equations with U(1) gauge fields: Application to the Aharonov-Bohm ring
We investigate a three-dimensional subsystem under a time-dependent U(1) gauge field coupled to rotationally invariant environments. To capture the dynamic behavior of the subsystem under thermal excitations and dissipations, it is imperative to treat the bath in a non-Markovian and nonperturbative manner. This is because quantum noise is constrained by the uncertainty principle, which dictates the relationship between the noise correlation time and the amplitude of the energy fluctuation. To t…

Phases of 2d Gauge Theories and Symmetric Mass Generation
Rishi Mouland, David Tong, Bernardo Zan
https://arxiv.org/abs/2509.12305 https://arxiv.org/pdf/25…

Phases of 2d Gauge Theories and Symmetric Mass Generation
We study the dynamics and phase structure of Abelian gauge theories in $d=1+1$ dimensions. These include $U(1)$ gauge theory coupled to a scalar and a fermion, as well as the two-flavour Schwinger model with different charges. Both theories exhibit a surprisingly rich phase diagram as masses are varied, with both $c=1$ and $c=1/2$ critical lines or points. We build up to the study of 2d chiral gauge theories, which hold particular interest because they provide a mechanism for symmetric mass gen…

Quantum Time Crystals and Interacting Chiral Gauge Theories in Atomic BECs III: Role of the Page-Wootters mechanism
Patrik \"Ohberg, Ewan M. Wright
https://arxiv.org/abs/2508.11245

Quantum Time Crystals and Interacting Chiral Gauge Theories in Atomic BECs III: Role of the Page-Wootters mechanism
We build the case that our published chiral soliton model [Phys. Rev. Lett. 124, 250402 (2019)] can lead to a genuine quantum time crystal for smaller atom numbers. To do this we compare results from the chiral soliton model with exact numerical solutions for the ground state of the three-particle Schrödinger equation in the limit that the spatial profile of the soliton is largely independent of its center-of-mass motion. The connection between the two approaches is found via the Page-Wootters…

Affine Gauge Theory: A Diffeomorphism Invariant Gauge Theory of Gravity
Kurniawan Tjandra, Kuldip Singh
https://arxiv.org/abs/2509.26410 https://arxiv.org/…

Affine Gauge Theory: A Diffeomorphism Invariant Gauge Theory of Gravity
This paper is a comprehensive investigation of the Affine Gauge Theory (AGT) as a gauge theory of gravity having the same mathematical structure as gauge theories of the other fundamental forces of nature. This mathematical structure consists of a principal fiber bundle over the spacetime manifold that is endowed with an affine connection. The relationship between AGT and various formulations of teleparallel theories of gravity, which are alternatives to General Relativity, are examined. Here, …

Dissipation-Enhanced Localization in a Disorder-Free $\mathbb{Z}_2$ Lattice Gauge System
Xuanpu Yang, Xiang-Ping Jiang, Lei Pan
https://arxiv.org/abs/2509.06642 https://

Dissipation-Enhanced Localization in a Disorder-Free $\mathbb{Z}_2$ Lattice Gauge System
The $\mathbb{Z}_2$ lattice gauge model, as the simplest realization of a lattice gauge theory, exhibits rich and unconventional physics. One of its most remarkable features is disorder-free localization, where localization emerges not from explicit quenched disorder but from static background $\mathbb{Z}_2$ gauge charges, leading to persistent memory of the initial state. In this work, we investigate the dissipative dynamics of the $\mathbb{Z}_2$ lattice gauge model by coupling it to a Markovia…

Vacuum Energy and Topological Mass from a Constant Magnetic Field and Boundary Conditions in Coupled Scalar Field Theories
A. J. D. Farias Junior, Andrea Erdas, Herondy F. Santana Mota
https://arxiv.org/abs/2508.15121

Vacuum Energy and Topological Mass from a Constant Magnetic Field and Boundary Conditions in Coupled Scalar Field Theories
We investigate the combined effects of a uniform magnetic field and boundary conditions on vacuum energy and topological mass generation in a coupled scalar field theory. The system consists of a real scalar field, subject to Dirichlet boundary conditions, interacting via self- and cross-couplings with a gauge-coupled complex scalar field obeying mixed boundary conditions between two perfectly reflecting parallel plates. The magnetic field induces Landau quantization, leading to novel contribut…

Coulomb branch localization, quasimaps, and surface counting in Calabi--Yau fourfolds
Duiliu-Emanuel Diaconescu, Nicolo Piazzalunga
https://arxiv.org/abs/2508.11512 https://

Coulomb branch localization, quasimaps, and surface counting in Calabi--Yau fourfolds
We present a string theoretic approach to surface counting in local Calabi--Yau fourfolds via supersymmetric localization in topologically twisted four-dimensional gauge theories. This approach is based on a spectral correspondence between PT1-stable pairs on local fourfolds and twisted quasimaps with fixed two-dimensional domain associated to the ADHM quiver, or, equivalently, ADHM sheaves. For local toric fourfolds, we derive a conjectural residue formula for the K-theoretic quasimap partitio…

Semiconductor Bloch equations in Wannier gauge with well-behaved dephasing
Martin Th\"ummler, Thomas Lettau, Alexander Croy, Ulf Peschel, Stefanie Gr\"afe
https://arxiv.org/abs/2508.07869

Semiconductor Bloch equations in Wannier gauge with well-behaved dephasing
The semiconductor Bloch equations (SBEs) with a dephasing operator for the microscopic polarizations are a well established approach to simulate high-harmonic spectra in solids. We discuss the impact of the dephasing operator on the stability of the numerical integration of the SBEs in the Wannier gauge. It is shown that the standard approach to apply dephasing is ill-defined in the presence of band crossings and leads to artifacts in the carrier distribution. They are caused by rapid changes o…

Inflationary trispectrum of gauge fields from scalar and tensor exchanges
P. Jishnu Sai, S. R. Haridev, Rajeev Kumar Jain
https://arxiv.org/abs/2509.11143 https://

Inflationary trispectrum of gauge fields from scalar and tensor exchanges
In this paper, we compute the inflationary trispectrum of primordial gauge fields generated through the scalar and tensor exchanges in models with spectator $U(1)$ gauge fields which are kinetically coupled to the inflaton. Focusing on the connected four-point autocorrelation function of gauge fields, we derive exact analytical expressions for the full trispectrum of both electric and magnetic fields using the in-in formalism and cosmological diagrammatic rules, and explore their respective con…

Froggatt-Nielsen like mechanism in the framework of Modular Symmetry for Neutrino Mass, Mixing and Leptogenesis
Gourab Pathak, Mrinal Kumar Das
https://arxiv.org/abs/2508.13578 …

Froggatt-Nielsen like mechanism in the framework of Modular Symmetry for Neutrino Mass, Mixing and Leptogenesis
We study a neutrino mass model with Froggatt-Nielsen (FN) like modular symmetry. The FN mechanism requires an additional gauge symmetry, $U(1)_{FN}$, which is spontaneously broken at high energies. But in this work, we do not need an extra symmetry as modular weights play the role of the FN charges of the additional $U(1)_{FN}$ symmetry. We have constructed a neutrino mass model using FN-like modular symmetry in the $T'$ group. This model can accommodate neutrino oscillation parameters and also…

Toward precise $\xi$ gauge fixing for the lattice QCD
Li-Jun Zhou, Dian-Jun Zhao, Wei-jie Fu, Chun-Jiang Shi, Ji-Hao Wang, Yi-Bo Yang
https://arxiv.org/abs/2509.09367 https://…

Toward precise $ξ$ gauge fixing for the lattice QCD
Lattice QCD provides a first-principles framework for solving Quantum Chromodynamics (QCD). However, its application to off-shell partons has been largely restricted to the Landau gauge, as achieving high-precision $ξ$-gauge fixing on the lattice poses significant challenges. Motivated by a universal power-law dependence of off-shell parton matrix elements on gauge-fixing precision in the Landau gauge, we propose an empirical precision extrapolation method to approximate high-precision $ξ$-ga…

Consistent gauge theories for the slave particle representation of the strongly correlated $t$-$J$ model
Xi Luo, Tao Shi, Yue Yu, Long Liang
https://arxiv.org/abs/2510.09264 htt…

Consistent gauge theories for the slave particle representation of the strongly correlated $t$-$J$ model
This note aims to clarify the confusion and inconsistency, and to address the incompleteness in our recent work [1,2]. In order to avoid the ill-defined nature of the free propagator of the gauge field in the ordered states of the $t$-$J$ model, we adopted a gauge fixing that was not of the Becchi-Rouet-Stora-Tyutin (BRST) exact form in our previous work [2]. This led to the situation where Dirac's second-class constraints, namely, the slave particle number constraint and the Ioffe-Larkin curre…

Real-time scattering and freeze-out dynamics in Rydberg-atom lattice gauge theory
De-Sheng Xiang, Peng Zhou, Chang Liu, Hao-Xiang Liu, Yao-Wen Zhang, Dong Yuan, Kuan Zhang, Biao Xu, Marcello Dalmonte, Dong-Ling Deng, Lin Li
https://arxiv.org/abs/2508.06639

Real-time scattering and freeze-out dynamics in Rydberg-atom lattice gauge theory
Understanding the non-equilibrium dynamics of gauge theories remains a fundamental challenge in high-energy physics. Indeed, most large scale experiments on gauge theories intrinsically rely on very far-from equilibrium dynamics, from heavy-ion to lepton and hadron collisions, which is in general extremely challenging to treat ab initio. Quantum simulation holds intriguing potential in tackling this problem and pioneering experiments have observed different characteristic features of gauge theo…

Counting gauge-invariant states with matter fields and finite gauge groups
Alessandro Mariani
https://arxiv.org/abs/2509.02173 https://arxiv.org/pdf/2509.0…

Counting gauge-invariant states with matter fields and finite gauge groups
Gauge theories with finite gauge groups have applications to quantum simulation and quantum gravity. Recently, the exact number of gauge-invariant states was computed for pure gauge theories on arbitrary lattices. In this work, we generalize this counting to include the case of scalar and fermionic matter, as well as various kinds of boundary conditions. As a byproduct, we consider several related questions, such as the implementation of charge conjugation for a generic finite group. These resu…

Using Gauge Covariant Lie Derivatives in Einstein-Cartan and Metric Teleparallel Theories of Gravity
R. J. van den Hoogen, H. Forance, L. Taylor, M. Lawton
https://arxiv.org/abs/2510.03082

Using Gauge Covariant Lie Derivatives in Einstein-Cartan and Metric Teleparallel Theories of Gravity
A procedure to determine the initial ansatz for the co-frame and spin connection characterizing a Riemann-Cartan geometry respecting a given group of continuous symmetries is illustrated. Given a particular group of symmetries and assuming an orthonormal gauge we can determine the co-frame and corresponding spin connection having this symmetry group by employing an gauge covariant Lie derivative. This gauge covariant Lie derivative when applied to the metric and co-frame determines the values o…

Complementarity between gravitational wave signatures and Higgs precision measurements of a classically conformal hidden U(1) extended Standard Model
Victor Baules, Nobuchika Okada
https://arxiv.org/abs/2508.13527

Complementarity between gravitational wave signatures and Higgs precision measurements of a classically conformal hidden U(1) extended Standard Model
We consider a classically conformal extension of the Standard Model (SM) with a hidden $U(1)$ gauge symmetry, where the $U(1)$ symmetry is radiatively broken via the Coleman-Weinberg mechanism. This radiative breaking then induces electroweak (EW) symmetry breaking through a negative mixed quartic coupling between the hidden sector Higgs field and the SM Higgs doublet. Due to the mixed quartic coupling, the original two Higgs fields mix with a small angle $θ$ to form two mass eigenstates, $h_1…

Gauge origami and quiver W-algebras IV: Pandharipande--Thomas $qq$-characters
Taro Kimura, Go Noshita
https://arxiv.org/abs/2508.12125 https://arxiv.org/pd…

Gauge origami and quiver W-algebras IV: Pandharipande--Thomas $qq$-characters
We develop a contour integral formalism for computing the K-theoretic equivariant 3-vertex. Within the Jeffrey--Kirwan (JK) residue framework, we show that, by an appropriate choice of the reference vector, both the equivariant Donaldson--Thomas (DT) and Pandharipande--Thomas (PT) 3-vertices can be extracted from the same integrand. We analyze three distinct limits of the PT 3-vertex, recovering the unrefined topological vertex, the refined topological vertex, and the Macdonald refined topologi…

Anomalously fast transport in non-integrable lattice gauge theories
Devendra Singh Bhakuni, Roberto Verdel, Jean-Yves Desaules, Maksym Serbyn, Marko Ljubotina, Marcello Dalmonte
https://arxiv.org/abs/2509.08889

Anomalously fast transport in non-integrable lattice gauge theories
Kinetic constraints are generally expected to slow down dynamics in many-body systems, obstructing or even completely suppressing transport of conserved charges. Here, we show how gauge theories can defy this wisdom by yielding constrained models with faster-than-diffusive dynamics. We first show how, upon integrating out the gauge fields, one-dimensional U(1) lattice gauge theories are exactly mapped onto XX models with non-local constraints. This new class of kinetically constrained models in…

Topological quantum electrodynamics in synthetic non-Abelian gauge fields
Qinan Huang, Bengy T. T. Wong, Zehai Pang, Xudong Zhang, Zeling Chen, Yi Yang
https://arxiv.org/abs/2508.07669

Topological quantum electrodynamics in synthetic non-Abelian gauge fields
Quantum electrodynamics (QED), a cornerstone framework that describes light-matter interactions rooted in Abelian symmetries, renders the harnessing of synthetic non-Abelian gauge fields as a fundamental yet uncharted frontier. Here, we develop a general theory of light-matter interaction of quantum emitters embedded in non-Abelian photonic lattices. Based on analytical solutions to the non-Abelian Landau dressed states beyond the continuum limit, we reveal chiral photon emission and vortices w…

On pseudo-gauge ambiguity in the distributions of energy density, pressure, and shear force inside the nucleon
Kenji Fukushima, Tomoya Uji
https://arxiv.org/abs/2509.10223 https…

On pseudo-gauge ambiguity in the distributions of energy density, pressure, and shear force inside the nucleon
We study the spatial distributions of pressure, energy density, and shear forces inside the nucleon within the two-flavor Skyrme model including vector mesons. This framework has the advantage that nucleon configurations can be stabilized without the Skyrme term. In contrast to the model without vector mesons, however, we realize that the energy-momentum tensor (EMT) becomes pseudo-gauge dependent. We explicitly demonstrate that all these distributions differ between the canonical and Belinfant…

The Double Copy of Maximal Supersymmetry in $D=10$
Roberto Bonezzi, Giuseppe Casale, Olaf Hohm
https://arxiv.org/abs/2508.11753 https://arxiv.org/pdf/2508.…

The Double Copy of Maximal Supersymmetry in $D=10$
We continue the program of using homotopy algebras to obtain off-shell, local and gauge redundant derivations of the double copy relations between gauge theory and gravity. We apply it to $N=1$ super-Yang-Mills theory in $D=10$ in order to obtain type IIA or type IIB supergravity, at least to cubic order in fields. Furthermore, we show how the super-Lie algebra of global supersymmetries, acting on the homotopy algebra of $N=1$ super-Yang-Mills theory, double copies to the maximal supersymmetry …

Spinon band flattening by its emergent gauge field in quantum kagome ice
Masafumi Udagawa, Roderich Moessner
https://arxiv.org/abs/2510.11134 https://arxiv…

Spinon band flattening by its emergent gauge field in quantum kagome ice
Fractional excitations provide a key to identifying sought-after topological quantum spin liquid states in realistic materials. Their single-particle dynamics already presents a challenging many-body problem on account of the coupling to their emergent gauge field. Here, we study the spinon excitations of kagome ice, realized at the $2/3$ magnetization plateau of spin ice, by combining up-to-$63$-site exact diagonalization with an analytical state graph mapping. We find a macroscopically degene…

On non-linear chiral 4-form theories in D=10
Jessica Hutomo, Kurt Lechner, Dmitri P. Sorokin
https://arxiv.org/abs/2509.14351 https://arxiv.org/pdf/2509.14…

On non-linear chiral 4-form theories in D=10
We consider properties of non-linear theories of a chiral 4-form gauge field $A_4$ in ten space-time dimensions with an emphasis on a subclass of these theories which are invariant under the $D = 10$ conformal symmetry. We show that general results regarding a peculiar structure of duality-invariant abelian gauge theories in four and six space-time dimensions do not extend to non-linear chiral 4-form theories in ten dimensions. This discrepancy arises primarily from the large number 81 of indep…

A Unified Dynamical Systems Framework for Cosmology in $f(Q)$ Gravity: Generic Features Beyond the Coincident Gauge
Jibitesh Dutta, Wompherdeiki Khyllep, Saikat Chakraborty, Daniele Gregoris, Khamphee Karwan
https://arxiv.org/abs/2508.09530

A Unified Dynamical Systems Framework for Cosmology in $f(Q)$ Gravity: Generic Features Beyond the Coincident Gauge
We present a unified dynamical systems framework for spatially flat FLRW cosmology in $f(Q)$ gravity, covering all three connection branches via a single set of Hubble-normalised variables without fixing $f(Q)$ \textit{a priori}. This connection-agnostic, model-independent approach enables direct comparison across branches and reveals generic structural features that are not apparent in model or connection-specific analyses. Beyond fixed points, we identify invariant submanifolds, model-indepen…

Bounds on SMEFT affecting multi gauge and Higgs-gauge couplings using two and three body spin correlations in $e^-e^ \to 3l2j\slashed{E}$ process
Amir Subba, Ritesh K. Singh
https://arxiv.org/abs/2509.01452

Bounds on SMEFT affecting multi gauge and Higgs-gauge couplings using two and three body spin correlations in $e^-e^+\to 3l2j\slashed{E}$ process
The upcoming electron-positron collider provides an ideal place to probe deviation from the Standard Model predictions with its clean environment, beam polarization and significant luminosity. We studied anomalous quartic gauge boson couplings~($VVW^-W^+, V\in\{γ,Z\}$), triple gauge couplings~($W^-W^+γ/Z)$, and Higgs-gauge couplings $(HVV, V\in\{W^\pm,Z,γ\}$) induced by $SU(2)_L \times U(1)_Y$ gauge invariant dimension-6 operators in $3l2j\slashed{E}$ final events with initial beam polarizat…

Emergent gauge flux in QED$_3$ with flavor chemical potential: application to magnetized U(1) Dirac spin liquids
Chuang Chen, Urban F. P. Seifert, Kexin Feng, Oleg A. Starykh, Leon Balents, Zi Yang Meng
https://arxiv.org/abs/2508.08528

Emergent gauge flux in QED$_3$ with flavor chemical potential: application to magnetized U(1) Dirac spin liquids
We design a lattice model of non-compact U(1) gauge field coupled to fermions with a flavor chemical potential and solve it with large-scale determinant quantum Monte Carlo simulations. For zero flavor chemical potential, the model realizes three-dimensional quantum electrodynamics (QED$_3$) which has been argued to describe the ground state and low-energy excitations of the Dirac spin liquid phase of quantum antiferromagnets. At finite flavor chemical potential, corresponding to a Zeeman field…

Massive Gauge Theories from Consistency Conditions of Amplitudes
Junmou Chen
https://arxiv.org/abs/2510.09003 https://arxiv.org/pdf/2510.09003

Massive Gauge Theories from Consistency Conditions of Amplitudes
Based on the general principles of Lorentz symmetry and unitary, we introduce two consistency conditions -- on-shell gauge symmetry and strong massive-massless continuation -- in constructing amplitudes of massive gauge theory with elementary particles. In particular we argue on-shell gauge symmtry can be understood as a consequence of Lorentz symmetry, through mixture of a spin-1 block ands a spin-0 block with degnerate mass spectrum. Based on the two conditions, combined with the little group…

Gauge Dependence of Scalar-Induced Gravitational Waves from Isocurvature Perturbations: Analytical Results
Arshad Ali, Yang Lei, Mudassar Sabir
https://arxiv.org/abs/2510.07252 …

Gauge Dependence of Scalar-Induced Gravitational Waves from Isocurvature Perturbations: Analytical Results
We analytically study the gauge dependence of scalar-induced gravitational waves (SIGWs) sourced by primordial isocurvature perturbations during radiation domination (RD), working across nine gauges. Through analytical integrations of the kernels supported by graphical comparison we identify a clear dichotomy. We find that in some gauges viz. the uniform-density (UD), total-matter (TM), uniform-curvature (UC), comoving-orthogonal (CO) and transverse-traceless (TT) gauges the energy density grow…

The Internal Structure of the Deconstructed Dirac Monopole
Kazuyuki Furuuchi
https://arxiv.org/abs/2509.09334 https://arxiv.org/pdf/2509.09334

The Internal Structure of the Deconstructed Dirac Monopole
I study the internal structure of the Dirac magnetic monopole in a deconstructed $U(1)$ gauge theory. The deconstructed $U(1)$ gauge theory has a product $U(1)^N$ gauge group, which breaks down to the diagonal $U(1)_{\mathrm{diag}}$ gauge group. A linear superposition of the Dirac monopoles each from each $U(1)$ gauge group placed on top of each other in the 3D space constitutes a Dirac monopole with a unit magnetic charge under the unbroken $U(1)_{\mathrm{diag}}$ gauge group. However, the Dira…

The charge-singlet measurement toolbox
Abhijit Chakraborty, Randy Lewis, Christine A. Muschik
https://arxiv.org/abs/2510.08718 https://arxiv.org/pdf/2510.0…

The charge-singlet measurement toolbox
Symmetry is fundamental to physical laws across different scales$\unicode{x2014}$from spacetime structure in general relativity to particle interactions in quantum field theory. Local symmetries, described by gauge theories, are central to phenomena such as superconductivity, topological phases, and the Standard Model of particle physics. Emerging simulation techniques using tensor network states or quantum computers offer exciting new possibilities of exploring the physics of these gauge theor…

Oblique corrections in general dark $U(1)$ models
Cheng-Wei Chiang, Kazuki Enomoto
https://arxiv.org/abs/2509.08363 https://arxiv.org/pdf/2509.08363…

Oblique corrections in general dark $U(1)$ models
We investigate the impact of dark Abelian gauge bosons on the electroweak precision measurements at the one-loop level. The dark gauge boson couples to the standard model fermions generally via two kinds of mixing with the electroweak gauge bosons: the kinetic mixing and the mass mixing. We solve the Schwinger-Dyson equation for the gauge boson propagators and derive a renormalization scheme-independent representation of the scattering amplitudes for four-fermion processes, including the full o…

Exploring the nature of the emergent gauge field in composite-fermion metals: A large-scale microscopic study
Amogh Anakru, Mytraya Gattu, Ajit C. Balram, Xiao-Chuan Wu, Prashant Kumar, Zhen Bi, J. K. Jain
https://arxiv.org/abs/2509.07151

Exploring the nature of the emergent gauge field in composite-fermion metals: A large-scale microscopic study
Field theories of the composite-fermion (CF) metal model it as a Fermi sea of composite fermions coupled to an emergent gauge field. Within a random phase approximation, these theories predict that the Landau damping of the gauge field resulting from its coupling to the low-energy, long-wavelength CF particle-hole excitations modifies the electrons' density-density correlation function related to the static structure factor $S(q)$ at wave vector $q$. This produces a non-analytic correction $\pr…

Baryons, skyrmions and $\theta$-periodicity anomaly in chiral and vector-like gauge theories
Stefano Bolognesi, Andrea Luzio, Giacomo Santoni
https://arxiv.org/abs/2510.09866 ht…

Baryons, skyrmions and $θ$-periodicity anomaly in chiral and vector-like gauge theories
In this paper, we study the solitons of chiral gauge theories and vector-like $SU(N)$ gauge theories with matter in mixed one and two-index representations. Focusing on the Color-flavor locked (CFL) phase, we compute the topology of the coset. In the Bars-Yanckielowicz (BY) models, where the selection rules arising from the unbroken symmetry group allow for the decay of any heavy baryon, we find that Skyrmions are absent. Skyrmions are absent also in the Georgi-Glashow (GG) models, where the se…

Exact cosmological solutions in non-coincidence $f(Q)$-theory
Avik De, Andronikos Paliathanasis
https://arxiv.org/abs/2509.14174 https://arxiv.org/pdf/2509…

Exact cosmological solutions in non-coincidence $f(Q)$-theory
We study exact cosmological solutions in $f(Q)$ gravity formulated beyond the coincident gauge, focusing on the non-coincident connection branch $Γ_B$. Using a minisuperspace approach, the field equations are recast into an equivalent scalar-tensor form, enabling analytic reconstruction of cosmological models. We obtain exact solutions of particular interest, including de Sitter, scaling, $Λ$CDM, Chaplygin gas, generalized Chaplygin gas, and CPL parameterizations. The corresponding scalar pot…

Extra-natural production of superheavy Kaluza-Klein particles
Yusuke Yamada
https://arxiv.org/abs/2508.11206 https://arxiv.org/pdf/2508.11206

Extra-natural production of superheavy Kaluza-Klein particles
Gauge fields in extra compact dimensions can drive inflation in the four-dimensional (4D) non-compact spacetime, a scenario known as extra-natural inflation. A time-dependent gauge field configuration generates the electric field along the compact dimension, enabling the production of Kaluza-Klein (KK) particles charged under the field via the Schwinger effect. We construct the extra-natural inflation model within a five-dimensional (5D) quantum electrodynamics (QED) framework coupled to gravit…

Confinement, Nonlocal Observables, and Haag Duality Violation in the Algebraic Structure of 1 1-Dimensional Non-Abelian Gauge Theories
Fidele J. Twagirayezu
https://arxiv.org/abs/2508.09172

Confinement, Nonlocal Observables, and Haag Duality Violation in the Algebraic Structure of 1+1-Dimensional Non-Abelian Gauge Theories
This article presents a comprehensive and rigorously formulated algebraic framework for investigating 1+1-dimensional SU(N) gauge theories within the paradigm of Algebraic Quantum Field Theory (AQFT), building upon foundational results established for the Abelian Schwinger model. We meticulously construct a net of local observable C*-algebras, generated by gauge-invariant composite operators such as color-singlet currents and traces of non-Abelian electric fields, with the non-Abelian Gauss's l…

Casimir scaling in glueballs in SU($N$) and Sp($2N$) gauge theories: hints from constituent approaches
F. Buisseret, C. Chevalier, V. Mathieu, C. Semay
https://arxiv.org/abs/2509.09454

Casimir scaling in glueballs in SU($N$) and Sp($2N$) gauge theories: hints from constituent approaches
We show that the lattice glueball masses $M_G$ versus $N$ in SU($N$) and Sp($2N$) Yang-Mills theories scale as $\frac{M_G}{\sqrtσ}\sim \sqrt{\frac{C_2(adj)}{C_2(f)}}$, with $σ$ the fundamental string tension and $C_2(adj)$ and $C_2(f)$ the quadratic Casimir of the gauge algebra in the adjoint and fundamental representations. This scaling behaviour is followed by the great majority of available lattice glueball states, and may set constraints on $SU(3)$ models by imposing a specific behaviour …

Dimensional reduction of the M-theory Chern-Simons term at order $\ell_p^6$
Mohammad R. Garousi
https://arxiv.org/abs/2509.13726 https://arxiv.org/pdf/2509…

Dimensional reduction of the M-theory Chern-Simons term at order $\ell_p^6$
The dimensional reduction of M-theory couplings at order $\ell_p^6$ is known to produce one-loop $α'^3$ corrections in type IIA string theory. In this paper, we perform the Kaluza-Klein reduction of the M-theory Chern-Simons coupling $t_8ε_{11} A R^4$ at this order. By meticulously accounting for non-gauge-invariant total derivative terms, we derive the complete set of corresponding one-loop, gauge-invariant couplings in the type IIA effective action. Our results not only reproduce the standa…

Classification of Higgs sectors from group theoretical properties of UV gauge theories
Shinya Kanemura, Yushi Mura, Tetsuo Shindou
https://arxiv.org/abs/2509.05934 https://

Classification of Higgs sectors from group theoretical properties of UV gauge theories
Extended Higgs sectors are often introduced to explain phenomena beyond the standard model (BSM). The existence of multiple scalar fields may cause the Landau pole below the Planck scale. In this case, the low-energy theory may be replaced by an asymptotic-free gauge theory. In this paper, we consider an $\mathrm{SU}(2)$ gauge theory with confinement as such an ultra-violate theory of the extended Higgs sectors. We investigate the relation between scalar particle contents at the low energy and …

High-Quality Axion Dark Matter at Gravitational Wave Interferometers
Disha Bandyopadhyay, Debasish Borah, Nayan Das, Rome Samanta
https://arxiv.org/abs/2509.14323 https://

High-Quality Axion Dark Matter at Gravitational Wave Interferometers
Gravitational effects are known to violate global symmetries, threatening the Peccei-Quinn (PQ) solution to the strong CP problem. Ultraviolet completions featuring a gauged $U(1)$ symmetry, where $U(1)_{\rm PQ}$ arises as an accidental global symmetry, can suppress Planck-suppressed operators, enabling high-quality axions in a mass window where it can also account for the observed dark matter (DM) in the Universe. We show that in such models, the spontaneous breaking of the $U(1)$ gauge symmet…

On Casimir effect in Yang-Mills theories in three and four dimensions
Dimitra Karabali, Antonina Maj, V. P. Nair
https://arxiv.org/abs/2509.10301 https://a…

On Casimir effect in Yang-Mills theories in three and four dimensions
We calculate the Casimir energy for the configuration of two parallel plates coupled to nonabelian gauge fields with a Yang-Mills action. We consider both 2+1 and 3+1 dimensions in the manifestly gauge-invariant formalism we have pursued over the last several years which allows us to factor out the gauge degrees of freedom. A boundary action in the functional integral, equivalent to the insertion of operators representing the plates, is used to enforce the required boundary conditions for the g…

Exploring CP violation and vanishing electric dipole moment of the electron in a scale-invariant general 2HDM
Nguyen Dang Bao Nhi, Eibun Senaha
https://arxiv.org/abs/2509.14708 …

Exploring CP violation and vanishing electric dipole moment of the electron in a scale-invariant general 2HDM
We investigate a scale-invariant general two-Higgs-doublet model with explicit CP violation. Using the Gildener-Weinberg method, we analyze the Higgs mass spectrum and couplings at the one-loop level, focusing on CP violation originating from both the Higgs potential and the Yukawa sector. We show that, due to the flatness condition, both CP-even and CP-odd mixings between the 125 GeV Higgs boson and the heavier Higgs states arise only radiatively. As a result, the Higgs couplings to gauge boso…

A possibility of describing a sequential gauge symmetry as a part of the dihedral flavor symmetry and its implications
Jae Jun Kim
https://arxiv.org/abs/2510.06155 https://

A possibility of describing a sequential gauge symmetry as a part of the dihedral flavor symmetry and its implications
We present a method in which the dimension-five and -six terms in a sequential gauge symmetry can coexist with that of the dihedral flavor symmetry. We start with the contents in the model proposed in a sequential gauge symmetry, meeting the conditions for the contents to be described in the flavor symmetry, build up the mass matrices and discuss its implications. Given that the breaking of the symmetry only takes place in the dimension-five and -six terms in the mass matrix of the charged ferm…

Hilbert Space of Finite $N$ Multi-matrix Models
Robert de Mello Koch, Antal Jevicki
https://arxiv.org/abs/2508.11986 https://arxiv.org/pdf/2508.11986

Hilbert Space of Finite $N$ Multi-matrix Models
We study the Hilbert space structure of gauge-invariant operators emergent in large-$N$ multi-matrix quantum mechanics. Building on the framework of \cite{deMelloKoch:2025ngs}, we identify a class of light single-trace operators that behave like free creation operators at low energy but saturate beyond a critical excitation level, ceasing to generate new states. This $q$-reducibility is a direct consequence of finite N trace identities and leads to a dramatic truncation of the high-energy spect…

Action principle for $\kappa$-Minkowski noncommutative $U(1)$ gauge theory from Lie-Poisson electrodynamics
Maxim Kurkov
https://arxiv.org/abs/2509.03714 https://

Action principle for $κ$-Minkowski noncommutative $U(1)$ gauge theory from Lie-Poisson electrodynamics
Lie-Poisson electrodynamics describes a semi-classical approximation of noncommutative $U(1)$ gauge theories with Lie-algebra-type noncommutativities. We obtain a gauge-invariant local classical action with the correct commutative limit for a generic Lie-Poisson gauge model. At the semi-classical level, our results provide a relatively simple solution to the old problem of constructing an admissible Lagrangian formulation for the $U(1)$ gauge theory on the four-dimensional $κ$-Minkowski space-…

The Spin-Spin Dynamics of Glueballs
A. M. Badalian, M. S. Lukashov
https://arxiv.org/abs/2509.13830 https://arxiv.org/pdf/2509.13830

The Spin-Spin Dynamics of Glueballs
The masses of pure gauge glueballs are calculated with the use of relativistic string Hamiltonian without fitting parameters. The string tension $σ_f=0.184$~GeV$^2$ in fundamental representation is fixed, using the Necco-Sommer lattice data, and to calculate the vector coupling $α_{\rm V}(r)$ the value of $Λ_{\overline{MS}}^0=238$~MeV ($N_f=0$) is taken. The spin-spin potential, defined via the vacuum correlation function, is shown to produce a screening effect and decrease a hyperfine split…

Non-invertible Chiral Symmetry and Axions under Electromagnetic Duality
Gongjun Choi, Tony Gherghetta, John Terning
https://arxiv.org/abs/2509.14395 https://

Non-invertible Chiral Symmetry and Axions under Electromagnetic Duality
We study the implications of non-invertible chiral symmetry in a four-dimensional U(1) gauge theory coupled to massless fermions with electromagnetic $SL(2,\mathbb{Z})$ duality. This is done by deriving the Adler-Bell-Jackiw anomaly of massless QED in the dual frame that is used to explicitly construct the symmetry defect operator as well as the conserved two-form symmetry current. As expected, the non-invertible chiral symmetry is covariant under the duality transformation. This has implicatio…

Critical Non-Abelian Vortex String and 2D N=2 Black Hole
E. Ievlev, A. Marshakov, G. Sumbatian, A. Yung
https://arxiv.org/abs/2508.12972 https://arxiv.org/…

Critical Non-Abelian Vortex String and 2D N=2 Black Hole
It has been shown that the non-Abelian vortex string in 4D $\mathcal{N}=2$ SQCD with the U(2) gauge group and $N_f=4$ flavors becomes a critical superstring. Its 10D target space is a product of the flat 4D space and an internal noncompact Calabi-Yau threefold, namely, the conifold. It was also shown that the Coulomb branch of the associated string sigma model, which opens up at strong coupling, can be described by $\mathcal{N}=2$ Liouville theory. We continue here the study of the recently pro…

Optimal estimation of Higgs-Gauge Boson couplings at the future $e^ e^-$ colliders
Subhaditya Bhattacharya, Amir Subba, Abhik Sarkar
https://arxiv.org/abs/2508.08893 https://

Optimal estimation of Higgs-Gauge Boson couplings at the future $e^+e^-$ colliders
The proposed $e^+e^-$ collider offers an ideal environment for precise estimation of Higgs boson properties which are of utmost importance to validate the Standard Model of particle physics. We investigate $hVV$ couplings, where $V\in \{Z,γ\}$ with single Higgs production associated with $Z$ boson at the proposed $e^+e^-$ machine with $\sqrt{s}=250$ GeV, within the Standard Model Effective Field Theory (SMEFT) framework. We employ the recoil mass of the dilepton system, to select the signal ph…

Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity
Maksym Riabokon, Marc Schiffer, Fabian Wagner
https://arxiv.org/abs/2508.03563

Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity
Both General Relativity and the Standard Model of particle physics are not UV complete. General Relativity is perturbatively non-renormalizable, while the Standard Model features Landau poles, where couplings are predicted to diverge at finite energies, e.g., in the Abelian gauge sector. Asymptotically safe quantum gravity may resolve both of these issues at the same time. In this paper, we assess the systematic uncertainties associated with this scenario, in particular with the gravitationally…

Investigation of the $l^{-}l^{ }\nu \overline{\nu}$ final state at multi-TeV muon colliders through the exclusive decay of ZZ/WW gauge bosons in the Randall-Sundrum model
Bui Thi Ha Giang, Dang Van Soa
https://arxiv.org/abs/2510.02638

Investigation of the $l^{-}l^{+}ν\overlineν$ final state at multi-TeV muon colliders through the exclusive decay of ZZ/WW gauge bosons in the Randall-Sundrum model
An attempt is made to present the effect of the exclusive decay of ZZ/WW gauge bosons at high energy colliders in the Randall-Sundrum (RS) model. In this paper, we investigate the $l^{-}l^{+}ν\overlineν$ final state at muon-TeV colliders through the exclusive decay of ZZ/WW gauge bosons in detail. The result shows that with fixed collision energies, cross-sections for $l^{-}l^{+}ν\overlineν$ production in final state depend strongly on the parameters of the unparticle physics, muon polariza…

NSVZ-Compatible Three-Loop Gauge $\beta$-Functions and Regulator-Driven Scheme Structure in Supersymmetric Theories with Exponential Higher Covariant Derivative Regularization
Swapnil kumar Singh
https://arxiv.org/abs/2509.06799

NSVZ-Compatible Three-Loop Gauge $β$-Functions and Regulator-Driven Scheme Structure in Supersymmetric Theories with Exponential Higher Covariant Derivative Regularization
We study the three-loop gauge $β$-functions in general $\mathcal{N}=1$ supersymmetric gauge theories regularized by higher covariant derivatives (HCD) supplemented with Pauli--Villars subtraction. The all-structure three-loop form is known in the HCD framework (e.g.~\cite{Kazantsev2020,Haneychuk2022,Haneychuk2025}) and involves regulator-dependent parameters. Here we evaluate these parameters explicitly for the exponential regulators $R(x)=e^{x^n}$ and $F(x)=e^{x^m}$. We obtain the constants $…

Elliptic Genera of 2d $\mathcal{N}=(0,1)$ Gauge Theories
Jiakang Bao, Masahito Yamazaki, Dongao Zhou
https://arxiv.org/abs/2508.06865 https://arxiv.org/pdf…

Elliptic Genera of 2d $\mathcal{N}=(0,1)$ Gauge Theories
We derive an exact residue formula for the elliptic genera of 2d $\mathcal{N}=(0,1)$ gauge theories. We find a new residue prescription which recovers the Jeffery-Kirwan residue prescription for $\mathcal{N}=(0,2)$ theories. We apply the formula to the Gukov-Pei-Putrov model and analyze the phase structure of the theory.

A string based model with Hagedorn temperature of $T_H\sim 300~$MeV describes the spectrum of mesons and glueballs
Micha{\l} Marczenko, Gy\H{o}z\H{o} Kov\'acs, Larry McLerran, Krzysztof Redlich
https://arxiv.org/abs/2508.11626

A string based model with Hagedorn temperature of $T_H\sim 300~$MeV describes the spectrum of mesons and glueballs
We consider the thermodynamics of a color-confined phase of quantum chromodynamics (QCD) and pure gauge theory within a string-inspired model, corresponding to a physical spatial dimension, d = 3. We show that the physical mass spectrum of massive mesons--in both the strange and non-strange sectors separately--is reasonably well described and extended by the exponential mass spectrum of open strings, $ρ(m)$, characterized by a unique Hagedorn temperature, $T_H = \sqrt{3σ/2π}$, expressed by t…

Heterotic Warm Inflation
Arjun Berera, Heliudson Bernardo, Suddhasattwa Brahma, Jaime Calder\'on-Figueroa, Rudnei O. Ramos, Michael W. Toomey
https://arxiv.org/abs/2509.15125

Heterotic Warm Inflation
In this paper we propose a two-field model of warm inflation motivated from a heterotic string construction. The model contains an axion and a dilaton-like field. We show that while warm inflation can take place in the axion-field direction, thermal corrections coming from the radiation gauge fields, which couples to both the axion and the dilaton, prevent warm inflation to happen in the dilaton-field direction. We explore the background dynamics for different parameters, and identify a diversi…

QCD Effective Lagrangian and Condensation of Chromomagnetic Flux Tubes
George Savvidy
https://arxiv.org/abs/2509.11375 https://arxiv.org/pdf/2509.11375

QCD Effective Lagrangian and Condensation of Chromomagnetic Flux Tubes
Vacuum polarisation effects induced by the sourceless solutions of the Yang-Mills equation are investigated. These solutions represent oppositely oriented chromomagnetic flux tubes permeating the space in all directions. We review and prove the gauge invariance of the effective Lagrangian on sourceless gauge fields and present a number of alternative methods allowing to compute the effective Lagrangian. We compute the effective Lagrangian on chromomagnetic flux tube solutions and demonstrate th…

Cosmological Correlators in Gauge Theory and Gravity from EAdS
Md. Abhishek, Charlotte Sleight, Massimo Taronna
https://arxiv.org/abs/2509.09536 https://ar…

Cosmological Correlators in Gauge Theory and Gravity from EAdS
In this work we examine in more detail the perturbative map between late-time correlators in de Sitter space and boundary correlators in Euclidean anti-de Sitter space, elaborating on the general construction presented in arXiv:2007.09993 and arXiv:2109.02725 for EFTs of bosonic spinning fields by treating explicitly the cases of gauge bosons and gravitons. In these cases, additional technical subtleties arise from the treatment of massless representations of the de Sitter isometry group in eve…

On the K-point in moduli space
Jarod Hattab, Eran Palti, Joan Quirant
https://arxiv.org/abs/2509.11949 https://arxiv.org/pdf/2509.11949

On the K-point in moduli space
We study a class of infinite-distance loci, referred to as K-points, in one-parameter complex-structure moduli spaces of type IIB string theory compactified on Calabi-Yau manifolds. We show that around K-points the effective four-dimensional supergravity exhibits certain unusual properties. The two most prominent being that the leading order dependence of the prepotential on the gauge couplings is non-perturbative and that the leading gauge kinetic terms in the action vanish when evaluated on a…

Principle of Diminishing Potentialities in Large N Algebra
Bik Soon Sia
https://arxiv.org/abs/2508.11688 https://arxiv.org/pdf/2508.11688

Principle of Diminishing Potentialities in Large N Algebra
A connection between the completion of quantum mechanics featuring events and the theory of emergent spacetime in quantum gravity where von Neumann algebra plays a vital role is established. In thermal equilibrium, we show that the Principle of Diminishing Potentialities (PDP) holds for the large $N$ algebra of $\mathcal{N}=4$ Super Yang-Mills (SYM) theory with gauge group $SU(N)$ when the temperature is higher than Hawking-Page temperature. Below Hawking-Page transition and for the case of zer…

Gauge symmetry and radiatively induced terms in dimension-5 non-minimal Lorentz-violating QED
A. P. B. Scarpelli, A. R. Vieira
https://arxiv.org/abs/2508.00801 https://

Gauge symmetry and radiatively induced terms in dimension-5 non-minimal Lorentz-violating QED
In this work, we derive the conditions that assure gauge invariance of a non-minimal dimension-5 Lorentz-violating QED. The two and three point functions at one-loop are computed. The gauge Ward identities are checked and the conditions to assure gauge symmetry of this non-minimal framework is found to be the same of the usual QED. Induced terms are also investigated and it is shown that the non-minimal Lorentz-violating $a^{(5)}_F$-term of the fermion sector can induce radiatively a non-minima…

Boundary Actions and Loop Groups: A Geometric Picture of Gauge Symmetries at Null Infinity
Silvia Nagy, Javier Peraza, Giorgio Pizzolo
https://arxiv.org/abs/2509.08725 https://

Boundary Actions and Loop Groups: A Geometric Picture of Gauge Symmetries at Null Infinity
In previous work arXiv:2407.13556, we proposed an extended phase space structure at null infinity accommodating large gauge symmetries for sub$^n$-leading soft theorems in Yang-Mills, via dressing fields arising in the Stueckelberg procedure. Here, we give an explicit boundary action controlling the dynamics of these fields. This allows for a derivation from first principles of the associated charges, together with an explicit renormalization procedure when taking the limit to null and spatial …

Symplectic realization of generalized Snyder-Poisson algebra
V. G. Kupriyanov, E. L. F. de Lima
https://arxiv.org/abs/2509.09568 https://arxiv.org/pdf/2509…

Symplectic realization of generalized Snyder-Poisson algebra
We investigate Snyder space-time and its generalizations, including Yang and Snyder-de-Sitter spaces, which constitute manifestly Lorenz invariant noncommutative geometries. This work initiates a systematic study of gauge theory on such spaces in the semi-classical regime, formulated as Poisson gauge theory. As a first step, we construct the symplectic realization of the relevant noncommutative spaces, a prerequisite for defining Poisson gauge transformations and field strengths. We present a g…

Correlation Function/Wilson Loop Duality in Gauge Theory from EFT
Hao Chen, Pier Francesco Monni, Zhaoyan Pang, Gherardo Vita, Hua Xing Zhu
https://arxiv.org/abs/2510.07377 http…

Correlation Function/Wilson Loop Duality in Gauge Theory from EFT
In this Letter, we initiate a systematic study of the $n$-point correlation functions (CF) in gauge theories in the sequential light-cone (SLC) limit. Focusing on QCD, we formulate a factorization theorem for the CF of four vector currents in this limit using tools from soft-collinear effective field theory (SCET). This result unveils a duality between CF and Wilson loops in non-conformal field theories, according to which the singular structure of the CF is described by a null polygonal Wilson…

Hawking-Page transition in anti-de Sitter massive gravity with non-compact spatial boundary
Nelson R. F. Braga, William S. Cunha
https://arxiv.org/abs/2509.13454 https://…

Hawking-Page transition in anti-de Sitter massive gravity with non-compact spatial boundary
In gauge/gravity duality, the Hawking Page (HP) process plays the important role of representing a confined/deconfined phase transition. For spaces that are asymptotically anti-de Sitter (AdS) with planar spatial boundary there is no HP transition, unless some infrared energy scale is introduced. Massive gravity theories have been applied in the context of holography in order to represent systems with momentum dissipation. In this work we study the HP transition for massive gravity in an asympt…

A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
Andrea Fontanella, Oliver Payne
https://arxiv.org/abs/2508.10085 https://arxiv.org/pdf/2…

A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
We construct a novel holographic duality by taking a Carrollian limit of the AdS/CFT correspondence, relating string theory in a Carroll bulk geometry to a Carroll $\mathcal{N}=4$ Super Yang-Mills theory. We further propose the existence of an underlying triality connecting Carroll string theory, relativistic string theory in flat spacetime, and Carroll gauge theory. Finally, we analyse the symmetries of the Carroll gauge theory, showing that they are non-linearly realised and do not close unde…

Gauge Invariants at Arbitrary $N$ and Trace Relations
Pawel Caputa, Robert de Mello Koch
https://arxiv.org/abs/2509.05834 https://arxiv.org/pdf/2509.05834

Gauge Invariants at Arbitrary $N$ and Trace Relations
We investigate conformal field theories with gauge group $U(N)$ at arbitrary rank $N$, focusing on the role of trace relations in determining the structure of the Hilbert space. Working in the free trace algebra without imposing relations, we identify a class of evanescent states that vanish at finite $N$. Using the Koszul complex of [1], we implement trace relations systematically via ghosts and a fermionic charge $Q_b$. This framework allows us to define and compute transition amplitudes betw…

Anomaly cancellation for a $U(1)$ factor
Ben Gripaios, Khoi Le Nguyen Nguyen
https://arxiv.org/abs/2508.11583 https://arxiv.org/pdf/2508.11583

Anomaly cancellation for a $U(1)$ factor
We use methods of arithmetic geometry to solve the abelian local anomaly cancellation conditions for a four-dimensional gauge theory whose Lie algebra has a single $\mathfrak{u}_1$ summand, assuming that a solution exists. The resulting polynomial equations in the integer $\mathfrak{u}_1$ charges define a projective cubic hypersurface over the field of rational numbers. Generically, such a hypersurface is (by a theorem of Kollár) a unirational variety, making it possible to find a finitely-man…

Cut-off scale of quantum gravity
Asya Aynbund, V. V. Kiselev
https://arxiv.org/abs/2508.11293 https://arxiv.org/pdf/2508.11293

Cut-off scale of quantum gravity
Dynamics of gravity interaction with matter at one-loop level of effective quantum field theory naturally sets the cut-off scale $Λ_E$ in a sub-Planckian region through incorporating the gauge coupling constant $α(Λ_E)$ and the reduced Planckian mass $\tilde m_\text{pl}$ into relation $ Λ_E\sim \tilde m_\text{pl}\,α(Λ_E)/(4π)$ numerically yielding $Λ_E\sim 10^{16}$ GeV. Such two scales are empirically inherent for an inflationary cosmology.

Electric flux tube solutions in SU(3) gauge theory
Jude Pereira, Tanmay Vachaspati
https://arxiv.org/abs/2509.03814 https://arxiv.org/pdf/2509.03814…

Electric flux tube solutions in SU(3) gauge theory
We consider electric flux tube solutions in SU(3) gauge theory with scalar fields in the fundamental representation. Such solutions can possibly be constructed in two classes, corresponding to the two maximally commuting generators $λ_3$ and $λ_8$ of SU(3). We successfully construct the 3-type solution with two scalar fields and show that it is immune to decay through Schwinger pair production of gauge bosons but we have not been able to construct an 8-type solution.

Differential Contracting Homotopy in the Linearized 3d Higher-Spin Theory
M. A. Vasiliev, V. A. Vereitin
https://arxiv.org/abs/2508.11500 https://arxiv.org…

Differential Contracting Homotopy in the Linearized 3d Higher-Spin Theory
In this paper, the recently developed differential homotopy approach is applied to the problem of disentangling dynamical and topological fields of the $3d$ higher-spin gauge theory at the linear level. This formalism allows us to reproduce all known disentangling solutions in a unified form, including both the solutions obtained previously within the shifted homotopy approach in \cite{Korybut:2022kdx} and that derived by hand in \cite{Vasiliev:1992ix}, as well as other solutions including thos…

Aspects of 4d $\mathcal{N}=1$ $ADE$ gauge theories from M-theory: decomposition, automorphisms, and generalised symmetries
Osama Khlaif, Marwan Najjar
https://arxiv.org/abs/2508.00564

Aspects of 4d $\mathcal{N}=1$ $ADE$ gauge theories from M-theory: decomposition, automorphisms, and generalised symmetries
We study the decomposition of 4d $\mathcal{N}=1$ gauge theories with Lie algebras of type $\mathfrak{su}(N)$, $\mathfrak{so}(2N)$, and $\mathfrak{e}_{6}$, realized via M-theory geometric engineering. These theories, together with their novel decomposition structure, arise from quotienting the Bryant--Salamon spin bundle over the 3-sphere by special finite subgroups acting simultaneously on both the fiber and base. We show that these gauge theories admit both inner and outer automorphisms, enabl…

Dirac QNM spectrum from twisted semiclassical gauge theory of gravity
Marija Dimitrijevi\'c \'Ciri\'c, Nikola Herceg, Nikola Konjik, A. Naveena Kumara, Andjelo Samsarov
https://arxiv.org/abs/2509.21620

Dirac QNM spectrum from twisted semiclassical gauge theory of gravity
Twisted Abelian gauge theory coupled to a noncommutative (NC) Dirac field is studied in order to infer the quasinormal mode (QNM) spectrum of the fermion matter perturbations in the vicinity of the Reissner-Nordström (RN) black hole. The action functional of the theory is invariant under the truncated NC local $U(1)_{\star}$ gauge transformations that keep the gravitational background intact. The latter, being a classical gravitational background unaffected by the NC local gauge transforma…

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries
Alonso Perez-Lona, Eric Sharpe, Xingyang Yu, Hao Zhang
https://arxiv.org/abs/2508.00050

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries
In this note we consider examples of decomposition (in which a local QFT is equivalent to a disjoint union of multiple independent theories, known as universes) where there is a continuous familiy of universes, rather than a finite or countably infinite collection. In particular, this allows us to consistently eliminate all instantons in a local QFT via a suitable topological gauging of the (-1)-form symmetry. In two-dimensional U(1) gauge theories, this is equivalent to changing the gauge gruo…