Tootfinder

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…

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…

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…

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…

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…

Topological Strings in SU(3) Gauge Theory at Finite Temperature
Sanatan Digal, Vinod Mamale, Sumit Shaw
https://arxiv.org/abs/2508.07919 https://arxiv.org/…

Topological Strings in SU(3) Gauge Theory at Finite Temperature
We investigate string configurations in the deconfined phase of SU(3) gauge theory, which arise from the spontaneous breaking of the $Z_3$ center symmetry. These configurations form at the junctions of domain walls of the theory. The complex phase of the Polyakov loop changes by multiples of $2π$ on large spatial loops around the string, rendering them topologically stable. Using the Monte Carlo simulations of the partition function, we compute the free energy associated with these configurati…

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 …

Higher-dimensional electric-magnetic photon sphere uniqueness
Marek Rogatko
https://arxiv.org/abs/2508.06099 https://arxiv.org/pdf/2508.06099

Higher-dimensional electric-magnetic photon sphere uniqueness
In our paper we pay attention to the problem of uniqueness (classification) of higher-dimensional electro-magnetic static, asymptotically flat, non-extremal solutions of multi-dimensional Einstein (n-2)-form gauge field gravity theory, which possess a photon sphere. The photon sphere is uniquely described by its asymptotic data. Conformal positive energy theorem is the key tool in the proof.

Parity Violation in Galaxy Shapes: Primordial Non-Gaussianity
Toshiki Kurita, Drew Jamieson, Eiichiro Komatsu, Fabian Schmidt
https://arxiv.org/abs/2509.08787 https://

Parity Violation in Galaxy Shapes: Primordial Non-Gaussianity
We present a comprehensive study of galaxy intrinsic alignment (IA) as a probe of parity-violating primordial non-Gaussianity (PNG). Within the effective field theory (EFT) framework, we show that the parity-odd IA power spectrum is sensitive to the collapsed limit of the parity-odd primordial trispectrum. For a $U(1)$-gauge inflationary model, the IA power spectrum is proportional to the power spectrum of the curvature perturbation, $P_ζ(k) \propto k^{-3}$. However, the proportionality consta…

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…

Crosslisted article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Real-Time String Dynamics in a $2 1$D Non-Abelian Lattice Gauge Theory: String Breaking, Glueball...
Giovanni Cataldi, Simone Orlando, Jad C. Halimeh

Integration theory of Lie-graph algebras
Ricardo Campos, Bruno Vallette
https://arxiv.org/abs/2510.06934 https://arxiv.org/pdf/2510.06934

Integration theory of Lie-graph algebras
We develop the Lie theory of Lie-admissible algebras whose product is enriched with higher operations modeled on directed graphs with a view to apply it to the deformation theories controlled by this kind of Lie algebras. We produce effective formulas for their exponential map, their gauge group structure and the action on Maurer--Cartan elements. The main motivation and range of applications lies in the deformation theory of types of bialgebras which is done in a sequel article. This work exte…

Crosslisted article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[1/1]:
- Real-Time String Dynamics in a $2 1$D Non-Abelian Lattice Gauge Theory: String Breaking, Glueball...
Giovanni Cataldi, Simone Orlando, Jad C. Halimeh

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.

Spin susceptibility in a pseudogap state with fluctuating spiral magnetic order
Paulo Forni, Pietro M. Bonetti, Henrik M\"uller-Groeling, Demetrio Vilardi, Walter Metzner
https://arxiv.org/abs/2509.07826

Spin susceptibility in a pseudogap state with fluctuating spiral magnetic order
We compute the electron spin susceptibility in the pseudogap regime of the two-dimensional Hubbard model in the framework of a SU(2) gauge theory of fluctuating magnetic order. The electrons are fractionalized in fermionic chargons with a pseudospin degree of freedom and bosonic spinons. The chargons are treated in a renormalized mean-field theory and order in a Néel or spiral magnetic state in a broad range around half-filling below a transition temperature $T^*$. Fluctuations of the spin ori…

Real-Time String Dynamics in a $2 1$D Non-Abelian Lattice Gauge Theory: String Breaking, Glueball Formation, Baryon Blockade, and Tension Reduction
Giovanni Cataldi, Simone Orlando, Jad C. Halimeh
https://arxiv.org/abs/2509.08868

Real-Time String Dynamics in a $2+1$D Non-Abelian Lattice Gauge Theory: String Breaking, Glueball Formation, Baryon Blockade, and Tension Reduction
Understanding flux string dynamics can provide insight into quark confinement and hadronization. First-principles quantum and numerical simulations have mostly focused on toy-model Abelian lattice gauge theories (LGTs). With the advent of state-of-the-art quantum simulation experiments, it is important to bridge this gap and study string dynamics in non-Abelian LGTs beyond one spatial dimension. Using tensor network methods, we simulate the real-time string dynamics of a $2\!+\!1$D SU$(2)$ Yang…

Chiral enhancement in soft-photon bremsstrahlung and charge asymmetry in low-energy lepton-proton scattering
Bhoomika Das, Rakshanda Goswami, Pulak Talukdar, Udit Raha, Fred Myhrer
https://arxiv.org/abs/2508.08104

Chiral enhancement in soft-photon bremsstrahlung and charge asymmetry in low-energy lepton-proton scattering
We carry out a Lorentz gauge evaluation of the single-soft photon bremsstrahlung radiative corrections to the unpolarized elastic lepton-proton scattering cross section at low energies using the framework of heavy baryon chiral effective field theory (HB$χ$PT). We systematically incorporate all next-to-leading order [i.e., ${\mathcal O}(α^3/M)$] contributions to the cross section arising from radiative and proton's low-energy recoil effects. An important component of the soft-photon bremsstra…

Finite 2-group gauge theory and its 3 1D lattice realization
Mo Huang
https://arxiv.org/abs/2508.04693 https://arxiv.org/pdf/2508.04693

Finite 2-group gauge theory and its 3+1D lattice realization
In this work, we employ the Tannaka-Krein reconstruction to compute the quantum double $\mathcal D(\mathcal G)$ of a finite 2-group $\mathcal G$ as a Hopf monoidal category. We also construct a 3+1D lattice model from the Dijkgraaf-Witten TQFT functor for the 2-group $\mathcal G$, generalizing Kitaev's 2+1D quantum double model. Notably, the string-like local operators in this lattice model are shown to form $\mathcal D(\mathcal G)$. Specializing to $\mathcal G = \mathbb{Z}_2$, we demonstrate t…

Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
Claudio Iacovelli, Josep Cabedo, Leticia Tarruell, Alessio Celi
https://arxiv.org/abs/2510.06089 http…

Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
Topological gauge theories constitute a framework for understanding strongly correlated quantum matter in terms of weakly interacting composite degrees of freedom. Their topological properties become evident when these theories are realized on a space of non-trivial topology. Here, we propose a scheme to realize a one-dimensional topological gauge theory, the chiral BF theory, on a ring geometry. We obtain such a theory by dimensionally reducing Chern-Simons theory on a disk to the so-called ch…

Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/2]:
- Gauge Theory Bootstrap: Pion amplitudes and low energy parameters
Yifei He, Martin Kruczenski

Magnetic-Field-Induced Geometric Response of Mean-Field Projectors: Streda Formula and Orbital Magnetization
Jihang Zhu, Chunli Huang
https://arxiv.org/abs/2510.07001 https://…

Magnetic-Field-Induced Geometric Response of Mean-Field Projectors: Streda Formula and Orbital Magnetization
We study the magnetic-field response of interacting electron systems within mean-field theory using perturbation theory. We show that the linear response of the mean-field density-matrix to a weak magnetic field is purely geometric: it depends only on wavefunction derivatives, the Berry connections linking the occupied and unoccupied subspaces, and is independent of the interaction potential and the quasiparticle dispersion. This leads to compact, gauge-invariant projector expressions for both …

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, …

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…

On the Invariant and Geometric Structure of the Holomorphic Unified Field Theory
J. W. Moffat, E. J. Thompson
https://arxiv.org/abs/2510.06282 https://arxi…

On the Invariant and Geometric Structure of the Holomorphic Unified Field Theory
We present the invariant structure of a Holomorphic Unified Field Theory in which gravity and gauge interactions arise from a single geometric framework. The theory is formulated on a product principal bundle, with one connection, and curvature equipped with a Hermitian field on a complexification of spacetime. From a single Diff(M) $\times$ G-invariant action, variation yields the Einstein and Yang-Mills equations together with their paired Bianchi identities. A compatibility condition is impl…

Gauge theory approach to describe ice crystals habit evolution in ice clouds
Gianluca Di Natale, Francesco Pio De Cosmo, Leandro Cieri
https://arxiv.org/abs/2508.02472 https://

Gauge theory approach to describe ice crystals habit evolution in ice clouds
Ice clouds, particularly cirrus clouds, significantly influence Earth's radiative balance but remain poorly characterized in current climate models. A major uncertainty arises from the variability of their microphysical properties, especially the evolution of ice crystal habits under depositional growth. We propose a heuristic method to describe habit evolution based on four fundamental shapes identified in the literature and from in situ observations: droxtals, plates, columns, and rosettes. T…

Mathematician Karen Keskulla Uhlenbeck was born #OTD in 1942.
She is known for her work on PDEs, calculus of variations, topology, and gauge theory, and was the second woman (after Emmy Noether!) to give the plenary lecture to the International Congress of Mathematicians.

Robert McNees (@mcnees.bsky.social)
Mathematician Karen Keskulla Uhlenbeck was born #OTD in 1942. She is known for her work on PDEs, calculus of variations, topology, and gauge theory, and was the second woman (after Emmy Noether!) to give the plenary lecture to the International Congress of Mathematicians. 👩‍🔬 🧪

A gauge theory of complex adaptive systems
Gueorgui M. Mihaylov, Sergio L. Cacciatori
https://arxiv.org/abs/2509.01581 https://arxiv.org/pdf/2509.01581

A gauge theory of complex adaptive systems
We introduce a geometric construction of a gauge field theory of a complex adaptive system. It is based on a suitable simplicial formulation of a discrete geometry that manifests relevant properties valid in the classical differentiable case. Bundles' non-triviality naturally arises from local collective interactions between agents. Key elements of the theory of principal and associated bundles, such as local obstructions for triviality and characteristic classes, are opportunely defined in thi…

Oxygen-driven altermagnetic symmetry inducing d-wave superconductivity in the cuprates and nickelates
Tom G. Saunderson, James F. Annett, Samir Lounis
https://arxiv.org/abs/2509.06814

Oxygen-driven altermagnetic symmetry inducing d-wave superconductivity in the cuprates and nickelates
Since the discovery of cuprate high-Tc superconductivity, numerous theoretical frameworks have been proposed; Anderson's RVB picture (Science 235, 1196-1198, 1987) and U(1) gauge theory (Phys. Rev. Lett. 76, 503-506, 1996) motivate a minimal one-band view that largely integrates out oxygen. By contrast, altermagnetism (Phys. Rev. X 12, 040501, 2022) yields a d-wave-like k-space magnetic texture from alternatingly rotated nonmagnetic cages; La2CuO4 (the parent of a high-Tc cuprate) is a prototyp…

Zeroth law of black hole thermodynamics for higher derivative Proca theories
Parthajit Biswas, Alokananda Kar, Anowar Shaikh
https://arxiv.org/abs/2509.09516 https://

Zeroth law of black hole thermodynamics for higher derivative Proca theories
We prove the constancy of surface gravity across a Killing horizon (not necessarily of bifurcate type) in arbitrary higher curvature theories of gravity coupled to Proca fields $-$ vector fields lacking $U(1)$ gauge invariance $-$ thus generalizing the zeroth law to this broader class of theories. This is achieved within the framework of effective field theory, where higher curvature contributions are treated perturbatively around the leading two derivative theory. The result holds to arbitrary…

Quantum Fisher Information as a Measure of Symmetry Breaking in Quantum Many-Body Systems
Shion Yamashika, Shimpei Endo, Hiroyasu Tajima
https://arxiv.org/abs/2509.07468 https:/…

Quantum Fisher Information as a Measure of Symmetry Breaking in Quantum Many-Body Systems
Symmetry breaking underlies diverse phenomena from phase transitions in condensed matter to fundamental interactions in gauge theories. Despite many proposed indicators, a general quantification of symmetry breaking that is faithful, computable, and valid in the thermodynamic limit has remained elusive. Here, within quantum resource theory, we propose the quantum Fisher information (QFI) as such a measure. We demonstrate its utility by computing QFI for paradigmatic models: in the BCS supercond…

Crosslisted article(s) found for cond-mat.quant-gas. https://arxiv.org/list/cond-mat.quant-gas/new
[1/1]:
- Real-Time String Dynamics in a $2 1$D Non-Abelian Lattice Gauge Theory: String Breaking, Glueball...
Giovanni Cataldi, Simone Orlando, Jad C. Halimeh

Gauge Theory and Integrability: An Overview
Masahito Yamazaki
https://arxiv.org/abs/2509.07628 https://arxiv.org/pdf/2509.07628

Gauge Theory and Integrability: An Overview
While general quantum field theories (QFTs) have yet to be rigorously defined in mathematics, they have generated new mathematics and have served as a unifying principle connecting different branches of the subject. In 1989, Witten made a profound impact on the mathematical community by systematically constructing knot invariants via the three-dimensional Chern-Simons theory. One of the historical roots of knot invariants was integrable models, whose explanation in terms of QFT remained unsolve…

Two-dimensional Yang-Mills theory via integrable probability
Thibaut Lemoine (IRMA)
https://arxiv.org/abs/2508.16162 https://arxiv.org/pdf/2508.16162

Two-dimensional Yang-Mills theory via integrable probability
In this paper, we review the construction and large $N$ study of the continuous two-dimensional Yang-Mills theory with gauge group $\mathrm{U}(N)$ through probability, combinatorics and representation theory. In a first part, we define the continuous Yang-Mills measure using Markovian holonomy fields, following a construction by L{é}vy, then we show in a second part how to derive Migdal's character expansion of the partition function for any compact structure group from this setting. We contin…

Comment on "Standard Model Mass Spectrum and Interactions In The Holomorphic Unified Field Theory"
James M. Cline
https://arxiv.org/abs/2508.05280 https://

Comment on "Standard Model Mass Spectrum and Interactions In The Holomorphic Unified Field Theory"
In arXiv:2508.02747 a theory that unifies gravity and the Standard Model was proposed. It is finite, unitary, and accurately predicts all parameters of the Standard Model in terms of only two input parameters. Here I point out one prediction that was overlooked, namely that the photon acquires a mass at one loop due to the lack of gauge invariance in the nonlocal interaction vertices of the proposed model.

Covariant and Gauge-invariant Metric-based Gravitational-waves Extraction in Numerical Relativity
Joan Fontbut\'e, Sebastiano Bernuzzi, Simone Albanesi, David Radice, Alireza Rashti, William Cook, Boris Daszuta, Alessandro Nagar
https://arxiv.org/abs/2508.03799

Covariant and Gauge-invariant Metric-based Gravitational-waves Extraction in Numerical Relativity
We revisit the problem of gravitational-wave extraction in numerical relativity with gauge-invariant metric perturbation theory of spherical spacetimes. Our extraction algorithm allows the computation of even-parity (Zerilli-Moncrief) and odd-parity (Regge-Wheeler) multipoles of the strain from a (3+1) metric without the assumption that the spherical background is in Schwarzschild coordinates. The algorithm is validated with a comprehensive suite of 3D problems including fluid ($f$-modes) and s…

Chiral Graviton Theory of Fractional Quantum Hall States
Yi-Hsien Du
https://arxiv.org/abs/2509.04408 https://arxiv.org/pdf/2509.04408

Chiral Graviton Theory of Fractional Quantum Hall States
Recent polarized Raman scattering experiments indicate that fractional quantum Hall systems host a chiral spin-2 neutral collective mode, the long-wavelength limit of the magnetoroton, which behaves as a condensed-matter graviton. We present a nonlinear, gauge-invariant effective theory by gauging area-preserving diffeomorphisms (APDs) with a unimodular spatial metric as the gauge field. A Stueckelberg construction introduces an APD-invariant local potential that aligns the dynamical metric wit…

Electromagnetic Leptogenesis -- an EFT-Consistent Analysis via Wilson Coefficients I: Low-Scale, Non-Resonant Regime
Rin Takada
https://arxiv.org/abs/2509.07698 https://

Electromagnetic Leptogenesis -- an EFT-Consistent Analysis via Wilson Coefficients I: Low-Scale, Non-Resonant Regime
We analyse electromagnetic leptogenesis within the framework of an effective field theory, where the dynamics is governed by the gauge-invariant dipole operator $O_{NB}$. The Wilson coefficient $C_{NB}$ is matched at one loop and renormalisation-group (RG) evolved to the electroweak scale. After electroweak symmetry breaking we compute flavour-dependent two-body decay widths and CP asymmetries for $N\toν+γ/Z$, and solve the fully flavoured Boltzmann equations. In the $N_1$-dominated regime th…

Supersymmetric M2-Brane Matrix Model with Restricted Volume-Preserving Deformations: Lorentz Covariance and BPS Spectrum
So Katagiri
https://arxiv.org/abs/2508.07259 https://

Supersymmetric M2-Brane Matrix Model with Restricted Volume-Preserving Deformations: Lorentz Covariance and BPS Spectrum
We present a novel supersymmetric Lorentz-covariant matrix model for M2-branes in M-theory, constructed via the framework of Restricted Volume-Preserving Deformations (RVPD) which is a residual symmetry from gauge-fixed volume-preserving diffeomorphisms. The model reformulates the supermembrane action entirely in terms of Nambu brackets, whose decomposition into Poisson brackets allows for a consistent matrix regularization that preserves both the Fundamental Identity and Lorentz covariance. Un…

Gradient and Hessian-Based Temperature Estimator in Lattice Gauge Theories: A Diagnostic Tool for Stability and Consistency in Numerical Simulations
Navdeep Singh Dhindsa, Anosh Joseph, Vamika Longia
https://arxiv.org/abs/2508.05595

Gradient and Hessian-Based Temperature Estimator in Lattice Gauge Theories: A Diagnostic Tool for Stability and Consistency in Numerical Simulations
We present a field configuration-based temperature estimator in lattice gauge theories. It is constructed from the gradient and Hessian of the Euclidean action of the theory. Adapted from geometric formulations of entropy in classical statistical mechanics, this estimator provides a gauge-invariant, non-kinetic diagnostic of thermodynamic consistency in Monte Carlo simulations of lattice gauge theories. We validate the method in compact U(1) lattice gauge theories across one, two, and four dime…

Self-dual monopole loops, instantons and confinement
Mendel Nguyen, Mithat \"Unsal
https://arxiv.org/abs/2509.09625 https://arxiv.org/pdf/2509.09625…

Self-dual monopole loops, instantons and confinement
It is well-known that the standard instanton analysis in 4d Yang-Mills is plagued with the instanton size moduli problem, which renders the instanton contribution to vacuum energy density (or one-instanton partition function) infrared divergent. The formalism also ignores the implications of long range (magnetic dipole type) $1/r^4$ interaction between the small instantons, since it is weaker than Coulomb interaction. We show that in $U(1)$ lattice gauge theory, where finite action configuratio…

Surveying the theory space of pion dark matter
Anja Alfano, Nick Evans, Suchita Kulkarni, Werner Porod
https://arxiv.org/abs/2509.04892 https://arxiv.org/p…

Surveying the theory space of pion dark matter
We use a holographic model to survey the space of strongly coupled SU(Nc) gauge dynamics with QCD-like chiral symmetry breaking pattern for quarks in the fundamental representation. We systematically identify the light degrees of freedom (rho, sigma and pi mesons) that would make up the dark sector as a function of Nf, Nc and a common quark mass scale. We identify seven distinct effective theories that are of interest to explore and make a first summary of the expected dark matter phenomenology…

Time-Dependent Parameters in Quantum Systems: Revisiting Berry Phase, Curvature and Gauge Connections
Georgios Konstantinou
https://arxiv.org/abs/2507.23347 https://

Time-Dependent Parameters in Quantum Systems: Revisiting Berry Phase, Curvature and Gauge Connections
We present a reformulation of quantum adiabatic theory in terms of an emergent electromagnetic framework, emphasizing the physical consequences of geometric structures in parameter space. Contrary to conventional approaches, we demonstrate that a Berry electric field naturally arises in systems with dynamic Hamiltonian, when the full time-dependent wavefunction is used to define the gauge potentials. This surprising result bridges the gap between static and dynamical formulations and leads to a…

Phase spaces in field theory: Reduction vs. resolution
Aldo Riello, Michele Schiavina
https://arxiv.org/abs/2509.24450 https://arxiv.org/pdf/2509.24450

Phase spaces in field theory: Reduction vs. resolution
In this note we review the concept of phase space in classical field theory, discussing several variations on the basic notion, as well as the relation between them. In particular we will focus on the case where the field theory admits local (gauge) symmetry, in which case the physical phase space of the system emerges after a (usually singular) quotient with respect to the action of the symmetry group. We will highlight the symplectic and Poisson underpinnings of the reduction procedure that d…

Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
Joshua Matthes, Silas Robitschko, Johanna M\"uller, Sophie Hermann, Florian Samm\"uller, Matthias Schmidt
https://arxiv.org/abs/2509.19837

Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
We formulate gauge invariance for the equilibrium statistical mechanics of classical multi-component systems. Species-resolved phase space shifting constitutes a gauge transformation which we analyze using Noether's theorem and shifting differential operators that encapsulate the gauge invariance. The approach yields exact equilibrium sum rules for general mixtures. Species-resolved gauge correlation functions for the force-force and force-gradient pair correlation structure emerge on the two-b…

TASI Lectures On Topological Field Theories And Differential Cohomology
Gregory W. Moore, Vivek Saxena
https://arxiv.org/abs/2510.07408 https://arxiv.org/p…

TASI Lectures On Topological Field Theories And Differential Cohomology
These are lecture notes expanding upon a set of lectures given by G.M. at the TASI 2023 School. Part I is an introduction to topological field theory, including extended topological field theory. Part II is an introduction to generalized Abelian gauge theories and their relation to differential cohomology.

Standard Model Mass Spectrum and Interactions In The Holomorphic Unified Field Theory
J. W. Moffat, E. J. Thompson
https://arxiv.org/abs/2508.02747 https://

Standard Model Mass Spectrum and Interactions In The Holomorphic Unified Field Theory
We present a unified, ultraviolet-finite framework for the full Standard Model particle mass spectrum based on the Holomorphic Unified Field Theory augmented by nonlocal entire-function regulators. Starting from a single holomorphic action on the complexified spacetime manifold $M^4_{\mathbb{C}}$, with a Hermitian metric unifying gravity, gauge and matter sectors, we embed exponential regulator insertions to render all loop integrals finite without breaking gauge or diffeomorphism invariance. A…

Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
Liang Ma, Yi Pang, Robert J. Saskowski, Minghao Xia
https://arxiv.org/abs/2509.07069 https://

Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
Four-derivative heterotic supergravity (without gauge fields) reduced on a $p$-dimensional torus leads to half-maximal supergravity coupled to $p$ vector multiplets, and it is known that removing the vector multiplets is a consistent truncation of the theory. We find a new consistent truncation of four-derivative heterotic supergravity on a torus that keeps the vector multiplets and precisely reproduces the bosonic action of heterotic supergravity (with heterotic gauge fields). We show that bot…

A New Action for Superstring Field Theory
Chris Hull
https://arxiv.org/abs/2508.03902 https://arxiv.org/pdf/2508.03902

A New Action for Superstring Field Theory
Sen's superstring field theory successfully formulates perturbative superstring theory but has a number of unusual features. The action is not background independent and the resulting effective field theory does not appear to have standard diffeomorphsim symmetry - instead there is an exotic gauge symmetry that acts on some fields but not others. A new action is found that reduces to Sen's action in a certain limit and gives the same results as Sen's theory for physical superstring amplitudes. …

Barren-plateau free variational quantum simulation of Z2 lattice gauge theories
Fariha Azad, Matteo Inajetovic, Stefan K\"uhn, Anna Pappa
https://arxiv.org/abs/2507.19203 h…

Barren-plateau free variational quantum simulation of Z2 lattice gauge theories
In this work, we design a variational quantum eigensolver (VQE) suitable for investigating ground states and static string breaking in a $\mathbb{Z}_2$ lattice gauge theory (LGT). We consider a two-leg ladder lattice coupled to Kogut-Susskind staggered fermions and verify the results of the VQE simulations using tensor network methods. We find that for varying Hamiltonian parameter regimes and in the presence of external charges, the VQE is able to arrive at the gauge-invariant ground state wit…

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-…

A gravitational spin-orbit interaction in Poincar\'e gauge theory
Sebastian Bahamonde, Jorge Gigante Valcarcel
https://arxiv.org/abs/2508.20035 https://

A gravitational spin-orbit interaction in Poincaré gauge theory
We show a gravitational spin-orbit interaction that can potentially modify the space-time geometry naturally emerges in the framework of Poincaré gauge theory. For this purpose, we derive the field equations of a particular model with cubic order invariants and demonstrate the existence of analytical solutions which display an interaction between the intrinsic and extrinsic angular momentum parameters in the gravitational action, in analogy to the spin-orbit interaction arising from atomic and…

New computational methods in lattice gauge theory -- quantum computation and tensor networks
Etsuko Itou
https://arxiv.org/abs/2508.03126 https://arxiv.org…

New computational methods in lattice gauge theory -- quantum computation and tensor networks
Lattice QCD calculations have been conducted using large-scale classical computers based on the Lagrangian formalism of field theory for the past 40 years. On the other hand, the advent of quantum computers has brought increasing attention to first-principles computational methods based on the Hamiltonian formalism compatible with these machines. In this talk, we discuss recent results on how to calculate hadronic properties using the Hamiltonian formalism.

Generalized cluster algorithms for Potts lattice gauge theory
Anthony E. Pizzimenti, Paul Duncan, Benjamin Schweinhart
https://arxiv.org/abs/2507.13503 htt…

Generalized cluster algorithms for Potts lattice gauge theory
Monte Carlo algorithms, like the Swendsen-Wang and invaded-cluster, sample the Ising and Potts models asymptotically faster than single-spin Glauber dynamics do. Here, we generalize both algorithms to sample Potts lattice gauge theory by way of a $2$-dimensional cellular representation called the plaquette random-cluster model. The invaded-cluster algorithm targets Potts lattice gauge theory at criticality by implementing a stopping condition defined in terms of homological percolation, the eme…

The Teukolsky scalar as a gateway for quantizing gravity on rotating black holes
Christiane K. M. Klein
https://arxiv.org/abs/2509.00978 https://arxiv.org/…

The Teukolsky scalar as a gateway for quantizing gravity on rotating black holes
The quantization of linearized gravity on black hole spacetimes and the construction of states for that theory is a sought-after, yet difficult achievement. One of the main reasons is the difficulty of reconciling the positivity and gauge invariance of potential states. On Kerr spacetimes, the spin-2 Teukolsky scalars express the same degrees of freedom as the metric perturbations, up to pure gauge and radiative solutions, while avoiding the issue of gauge. In this work, we therefore explore th…

The electromagnetic field in Poisson gauge theory: the groupoidal approach
Fabio Di Cosmo, Vladislav G. Kupriyanov, Patrizia Vitale
https://arxiv.org/abs/2510.04858 https://

The electromagnetic field in Poisson gauge theory: the groupoidal approach
We consider the problem of defining the field strength of abelian potentials when the spacetime is a Poisson manifold, within the groupoidal approach. The natural definition in terms of gauge invariant momenta is proved to be equivalent to covariant and invariant tensors of a local symplectic groupoid representing a symplectic realization of the Poisson manifold. A Poisson Chern-Simons model is then proposed and its equations of motion are shortly discussed.

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.

Hollow Lattice Tensor Gauge Theories with Bosonic Matter
Jos\'e M. Cruz, Masafumi Udagawa, Pedro Bicudo, Pedro Ribeiro, Paul A. McClarty
https://arxiv.org/abs/2508.02326 htt…

Hollow Lattice Tensor Gauge Theories with Bosonic Matter
Higher rank gauge theories are generalizations of electromagnetism where, in addition to overall charge conservation, there is also conservation of higher rank multipoles such as the total dipole moment. In this work we study a four dimensional lattice tensor gauge theory coupled to bosonic matter which has second rank tensor electric and magnetic fields and charge conservation on individual planes. Starting from the Hamiltonian, we derive the lattice action for the gauge fields coupled to $q=1…

QCD axion from chiral gauge theories
Ryosuke Sato, Shonosuke Takeshita
https://arxiv.org/abs/2508.21820 https://arxiv.org/pdf/2508.21820

QCD axion from chiral gauge theories
We present models of axion based on supersymmetric chiral gauge theories. In these models, the PQ symmetry is spontaneously broken by the non-perturbative dynamics of chiral gauge theory. Thanks to supersymmetry, IR dynamics of the models are calculable. We also present an example of a QCD axion model that is compatible with SU(5) grand unification. We find that the PQ breaking scale should be higher than $\sim 10^{13}~{\rm GeV}$ for the successful GUT unification. In addition, the PQ breaking …

Symmetry Packaging I: Irreducible Representation Blocks, Superselection, and Packaged Entanglement in Quantum Field Theory
Rongchao Ma
https://arxiv.org/abs/2508.05356 https://

Symmetry Packaging I: Irreducible Representation Blocks, Superselection, and Packaged Entanglement in Quantum Field Theory
We introduce the concept of symmetry packaging for quantum field excitations: in a quantum field theory with a gauge group $G$, every local creation operator carries its full set of internal quantum numbers (IQNs) as a single irreducible $G$-block and forbids any partial factorization. We elevate this observation to a symmetry packaging principle, which asserts that packets of IQNs remain intact throughout all physical processes. We analyze a quantum-field excitation in six successive stages: (…

Comment on "Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity"
A. A. Ara\'ujo Filho, Iarley P. Lobo
https://arxiv.org/abs/2507.22965

Comment on "Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity"
The particle creation via quantum tunneling was recently calculated for the Schwarzschild non-commutative black hole solution in Ref. [Phys. Lett. B 848 (2024) 138335, e-Print: 2310.02445 [gr-qc]]. Nevertheless, it contains inconsistencies in the calculations that need to be properly corrected. In particular, the event horizon was incorrectly determined in that work, which affected all the subsequent calculations. Moreover, the same issue have been repeated elsewhere by the same authors in Refs…

Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory
Praveen Balaji, Cianan Conefrey-Shinozaki, Patrick Draper, Jason K. Elhaderi, Drishti Gupta, Luis Hidalgo, Andrew Lytle
https://arxiv.org/abs/2509.25865

Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory
We study methods for efficient preparation of approximate ground states of $SU(3)$ lattice gauge theory on quantum hardware. Working in a variant of the electric basis, we introduce a refinement of the irrep truncation based on the energy density of site singlets, which provides a finer gradation of simulation complexity. Using strong-coupling perturbation theory as a guide, we develop simple ansatz circuits for ground state preparation and test them via classical simulation on small lattices, …

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…

Color gauge invariant theory of diquark interactions
Jun-Feng Wang, De-Shun Zhang, Zhi-Feng Sun
https://arxiv.org/abs/2509.17540 https://arxiv.org/pdf/2509…

Color gauge invariant theory of diquark interactions
In the present work, we construct a color gauge invariant theory of diquark interactions. With the transformation rule of the diquark fields and the definition of the covariant derivatives under color SU(3) symmetry, we construct the gauge invariant Lagrangians describing the vertices of $S-S-G$, $A-A-G$, $S_Q-S_Q-G$, $A_Q-A_Q-G$ and $S_Q-A_Q-G$, where $S_{(Q)}$ is the light (heavy) scalar diquark field, $A_{(Q)}$ is the light (heavy) axial vector diquark field, and $G$ is the gluon field. And …

Geometrically expanding the BPS vortex of a non-canonical multi-field theory
F. C. E. Lima
https://arxiv.org/abs/2510.03237 https://arxiv.org/pdf/2510.0323…

Geometrically expanding the BPS vortex of a non-canonical multi-field theory
Considering a non-canonical multi-field theory, we propose a mechanism of geometric expansion for Abrikosov-Nielsen-Olesen (ANO) vortices. One builds the general setup adopting a non-canonical O(3)-sigma model, non-minimally coupled through an anomalous magnetic dipole interaction to a gauge and real scalar field. By embracing a hyperbolic non-canonical extension, one finds that self-dual vortex configurations undergo geometric expansion, deforming ANO-like vortices into disk-like structures, m…

Teleparallel gravity from the principal bundle viewpoint
Sebastian Brezina, Eugenia Boffo, Martin Kr\v{s}\v{s}\'ak
https://arxiv.org/abs/2507.23672 https://

Teleparallel gravity from the principal bundle viewpoint
We examine whether the Teleparallel Equivalent of General Relativity (TEGR) can be formulated as a gauge theory in the language of connections on principal bundles. We argue in favor of using either the affine bundle with the Poincaré group or, equivalently, the orthonormal frame bundle with the Lorentz group as the structure group. Following the framework of Trautman--where gauge symmetries are determined using the absolute elements--we set to identify the absolute elements and gauge symmetri…

Inverse Monoid Topological Quantum Field Theories and Open-Closed Grand Canonical Symmetric Orbifolds
Jan Troost
https://arxiv.org/abs/2510.02782 https://a…

Inverse Monoid Topological Quantum Field Theories and Open-Closed Grand Canonical Symmetric Orbifolds
We present an open-closed topological quantum field theory for inverse monoids which generalizes the theory of principle fiber bundles with finite gauge group over Riemann surfaces with boundary. The theory is constructed using the isomorphism between the semisimple inverse monoid algebra and a matrix algebra which lies at the heart of monoid structure and representation theory. An example that we study in detail is the Ivanov-Kerov monoid of partial permutations. We review motivations from str…

High-energy evolution in planar QCD to three loops: the non-conformal contribution
Giacomo Brunello, Simon Caron-Huot, Giulio Crisanti, Mathieu Giroux, Sid Smith
https://arxiv.org/abs/2508.03794

High-energy evolution in planar QCD to three loops: the non-conformal contribution
The Balitsky-Kovchegov (BK) equation offers a tractable description of the high-energy growth of gauge-theory scattering amplitudes and the nonlinear saturation effects that eventually tame it. Motivated by the upcoming Electron-Ion Collider (EIC), whose extended kinematic reach promises more decisive tests of saturation at high energies, we present a framework based on the spacelike-timelike correspondence that streamlines the computation of multi-loop corrections to the BK equation. We explic…

Gauged Extended Field Theory and Generalised Cartan Geometry
Falk Hassler, David Osten, Alex Swash
https://arxiv.org/abs/2509.04595 https://arxiv.org/pdf/2…

Gauged Extended Field Theory and Generalised Cartan Geometry
Cartan geometry provides a unifying algebraic construction of curvature and torsion, based on an underlying model Lie algebra -- a viewpoint that can be extended naturally to the higher algebraic structures underlying supergravity. We present a Cartan-geometric framework for generalised geometries governed by a differential graded Lie algebra, extending previous results. The extended tangent bundle admits the action of both a global duality group $\mathcal{G}$ and a local gauge group $H$. This …

Dirac neutrino and dark matter in left-right symmetric models
Shohei Okawa, Yuji Omura, Keyun Wu
https://arxiv.org/abs/2510.04549 https://arxiv.org/pdf/251…

Dirac neutrino and dark matter in left-right symmetric models
We study neutrino mass generation and dark matter in a left-right symmetric model. The model is based on an $SU(3)_c\times SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ gauge theory with a softly broken parity symmetry. Masses of the charged leptons and neutrinos are generated radiatively at one-loop and three-loop level respectively, through their interactions with newly introduced neutral fermion and scalar particles. A mass hierarchy of those new particles is required to reproduce the observed p…

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…

Relevant Deformations, Brane Brick Models and Triality
Mario Carcamo, Sebastian Franco, Dongwook Ghim, Georgios P. Goulas, Rak-Kyeong Seong
https://arxiv.org/abs/2510.05517 http…

Relevant Deformations, Brane Brick Models and Triality
We extend the study of relevant deformations connecting 2d (0,2) gauge theories on D1-branes probing toric Calabi-Yau 4-folds beyond pure mass deformations. The underlying geometry provides powerful insights when field-theoretic tools are still lacking. We observe that the volume of the Sasaki-Einstein base of the Calabi-Yau 4-fold grows towards the IR, signaling the relevance of deformations. We exploit the map between gauge theory fields and GLSM fields to compute scaling dimensions directly …

Gauge fields in the presence of the electroweak bubble wall
Takahiro Kubota
https://arxiv.org/abs/2507.20134 https://arxiv.org/pdf/2507.20134

Gauge fields in the presence of the electroweak bubble wall
The gauge field theory of the standard electroweak model in the presence of the electroweak bubble wall is investigated, with an eye toward its applications to microscopic phenomena which are supposed to have occurred during the phase transition in the early universe. The asymptotic fields are defined anew so that the effects of the position-dependent Higgs condensate are taken into account through the position-dependent $W$ and $Z$ boson masses. A novel method of massive gauge field quantizati…

Theory overview: electroweak emission from heavy-ion collisions
Greg Jackson
https://arxiv.org/abs/2509.00262 https://arxiv.org/pdf/2509.00262

Theory overview: electroweak emission from heavy-ion collisions
An important class of observables in the heavy-ion collision programme concerns probes which are not sensitive to the prevailing strong interactions of QCD. The emission of photons, weak gauge bosons, and leptons fall into this category. Here I will describe the current status of such investigations, focusing on the emerging theoretical picture and its uncertainties.

Electron-positron scattering at finite temperature in Podolsky electrodynamics
D. S. Cabral, L. A. S. Evangelista, L. H. A. R. Ferreira, A. F. Santos
https://arxiv.org/abs/2509.06568

Electron-positron scattering at finite temperature in Podolsky electrodynamics
The electron-positron annihilation process is investigated within the framework of Podolsky's generalized electrodynamics at finite temperature. In this theory, a higher-derivative term modifies the photonic kinetic sector, introducing a massive mode while preserving gauge invariance. Thermal effects are incorporated using the real-time Thermo Field Dynamics formalism. The total cross section is calculated, and the individual contributions of the Podolsky parameter and thermal effects are analy…

The CFT of Sen's Formulation of Chiral Gauge Fields
Chris Hull, Neil Lambert
https://arxiv.org/abs/2508.00199 https://arxiv.org/pdf/2508.00199

The CFT of Sen's Formulation of Chiral Gauge Fields
Sen's action for chiral bosons in 2 dimensions describes two chiral scalars, one of which couples to the physical metric and one of which couples to a flat metric. It has a generalisation in which the flat metric is replaced by an arbitrary second metric and so can be formulated on any curved world-sheet. When the two metrics are equal, the theory reduces to a $βγ$ system, giving a non-unitary $c=2$ conformal field theory. We argue that the relation between this and the theory of two chiral b…

Holographic description of 4d Maxwell theories and their code-based ensembles
Ahmed Barbar, Anatoly Dymarsky, Alfred Shapere
https://arxiv.org/abs/2510.03392 https://

Holographic description of 4d Maxwell theories and their code-based ensembles
We formulate a precise holographic duality between an ensemble of 4d $U(1)^g$ Maxwell theories living on a spin four-manifold $M_4$ and an Abelian BF-type 2-form gauge theory of level $N$, summed over all five-manifolds with boundary $M_4$. The elements of the boundary ensemble are Abelian gauge theories specified by self-dual symplectic codes over $Z_N$, that parameterize topological boundary conditions in the 5d TQFT. Similarly, the equivalence classes of topologies distinguished by the 5d th…

Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory
Jo\~ao Barata, David Frenklakh, Swagato Mukherjee
https://arxiv.org/abs/2507.16890

Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory
We investigate thermal properties of a $U(1)$ lattice gauge theory in $1+1$-dimensions through real-time simulations. We extract the spectral functions directly coupling to the pseudoscalar and scalar mesons, demonstrating the thermal modifications of these states with increasing temperatures. Introducing the notion of energy-flow operators, we quantify the temporal build-up of correlations in the energy flows across the lattice. We demonstrate that energy-energy correlators fail to factorize t…

Witten Effect in $3$-Form Description of $\theta$-vacua
Maximilian Bachmaier, Gia Dvali, Juan Sebasti\'an Valbuena-Berm\'udez
https://arxiv.org/abs/2510.05237 https://…

Witten Effect in $3$-Form Description of $θ$-vacua
The $θ$-vacua of a gauge theory admit an equivalent formulation as vacua of a massless Chern-Simons $3$-form, which originate from the topological susceptibility of the vacuum. This formulation provides a framework in which the physical manifestations of the $θ$-angle, which are quantum in origin, can be captured at the level of effective classical equations of motion. Within this framework, we derive the Witten effect, demonstrating that in the background of a massless $3$-form, the magnetic…

The Symplectic Geometry of p-Form Gauge Fields
Chris Hull, Maxim Zabzine
https://arxiv.org/abs/2509.02406 https://arxiv.org/pdf/2509.02406

The Symplectic Geometry of p-Form Gauge Fields
We formulate interacting antisymmetric tensor gauge theory in a configuration space consisting of a pair of dual field strengths which has a natural symplectic structure. The field equations are formulated as the intersection of a pair of submanifolds of this infinite-dimensional symplectic configuration space, one of which is a Lagrangian submanifold while the other is either a coisotropic or Lagrangian submanifold, depending on the topology. Chern-Simons interactions give the configuration sp…

On a 5D UV completion of Argyres-Douglas theories
Giulio Bonelli, Pavlo Gavrylenko, Ideal Majtara, Alessandro Tanzini
https://arxiv.org/abs/2508.05610 https://

On a 5D UV completion of Argyres-Douglas theories
We discuss a novel UV completion of a class of Argyres-Douglas (AD) theories by its embedding into the renormalisation group flow from five dimensional $\mathcal{N}=1$ superconformal field theories (SCFT) on $S^1$. This is obtained via analysing these theories in the light of ($q$-)Painlevé/gauge theory correspondence, which allows to compute the five dimensional BPS partition functions as an expansion in the Wilson loop vev with integer $q$-polynomials coefficients. These are derived formulat…

Non-Commutative Gauge Theory at the Beach
Roland Bittleston, Simon Heuveline, Surya Raghavendran, David Skinner
https://arxiv.org/abs/2509.20643 https://ar…

Non-Commutative Gauge Theory at the Beach
The KP equation is perhaps the most famous example of a three-dimensional integrable system. Here we show that a non-commutative five-dimensional Chern-Simons theory living on the projective spinor bundle of three-dimensional space-time compactifies to a Lagrangian formulation of the KP equation. Essential to the definition of the theory is a 2-form pulled back from minitwistor space. The dispersionless limit of the KP equation is similarly described by Poisson-Chern-Simons theory. We further s…

Non-linear sigma model in string field theory
Alexander Frenkel, Manki Kim
https://arxiv.org/abs/2509.20527 https://arxiv.org/pdf/2509.20527

Non-linear sigma model in string field theory
We revisit the non-linear sigma model approach to string theory with the closed superstring field theory. We construct the string field theory around the non-linear sigma model background with the patch-by-patch description. We show that our string field theory action is invariant under the gauge transformation and solves the BV master equation, thereby providing a tool to study quantum gravitational effects in curved backgrounds in small $α'$ and $g_s$ approximation. We illustrate how to use …

Generalized Mandelstam-Leibbrandt regularization
Jorge Alfaro
https://arxiv.org/abs/2510.01200 https://arxiv.org/pdf/2510.01200

Generalized Mandelstam-Leibbrandt regularization
Algebraic non-covariant gauges are used often in string theory, Chern-Simons theory, gravitation and gauge theories. Loop integrals, however, have spurious singularities that need to be regularized. The most popular and consistent regularization is the Mandelstam- Leibbrandt(ML) prescription. This paper extends the ML prescription outside the light cone. It shares all the properties of light-cone ML regularization: It preserves naive power counting and gauge invariance. Moreover, using di…

One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature
Giorgio Comitini
https://arxiv.org/abs/2509.23889 https://

One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature
With the aim of looking for signatures of deconfinement, the poles and the spectral function of the Landau-gauge gluon propagator are investigated at one loop, vanishing spatial momentum and finite temperature within the framework of the screened massive expansion of pure Yang-Mills theory and of full QCD. When computed using both temperature-independent parameters optimized by principles of gauge invariance and temperature-dependent parameters obtained by fitting lattice data at zero Matsubara…

Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
Aslam Halder
https://arxiv.org/abs/2509.23763 https://arx…

Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
We investigate the relativistic quantum dynamics of amassless electron in graphene in a two-dimensional noncommutative (NC) plane under a constant background magnetic field. To address the issue of gauge invariance, we employ an effective massless NC Dirac field theory, incorporating the Seiberg-Witten (SW) map alongside the Moyal star product. Using this framework, we derive a manifestly gauge-invariant Hamiltonian for a massless Dirac particle, which serves as the basis for studying the relat…

Thermal and quantum phase transitions in a holographic anisotropic Dirac semimetal
Sebasti\'an Bahamondes
https://arxiv.org/abs/2508.01497 https://arxi…

Thermal and quantum phase transitions in a holographic anisotropic Dirac semimetal
In this thesis we build a phenomenological, strongly coupled quantum field theory in $2+1$-dimensions through AdS/CFT holography, by building a $3+1$-dimensional, negatively curved gravity theory with a $SU(2)$ gauge field, and a scalar field in the adjoint of $SU(2)$. We locate a phase transition between two distinct phases at zero and finite temperature, which are characterized through the dispersion relation of quasi-normal modes of probe fermions in the bulk, and correspond either…

Quantum carrollian bosonic strings
Jos\'e Figueroa-O'Farrill, Emil Have, Niels A. Obers
https://arxiv.org/abs/2509.04397 https://arxiv.org/pdf/2509…

Quantum carrollian bosonic strings
We study a recently discovered carrollian bosonic string, described classically by a sigma model where both the worldsheet and the target spacetime are carrollian. After fixing the carrollian analogue of the conformal gauge, we determine the Lie algebra of residual gauge symmetries and show it is isomorphic to the three-dimensional extended BMS algebra. We quantise the sigma model à la BRST and determine the spectrum of the corresponding string theory by computing the BRST cohomology. In contr…

On integrable structure of the null string in (anti-)de Sitter space
D. V. Uvarov
https://arxiv.org/abs/2508.04158 https://arxiv.org/pdf/2508.04158

On integrable structure of the null string in (anti-)de Sitter space
Presently integrability turned the key property in the study of duality between superconformal gauge theories and strings in anti-de Sitter superspaces. Complexity of the study of integrable structure in string theory is caused by complicated dependence of background fields of the Type II supergravity multiplets, with which strings interact, on the superspace coordinates. This explains an interest to study of limiting cases, in which superstring equations simplify. In the present work considere…

Higher symmetries, anomalies, and crossed squares in lattice gauge theory
Anton Kapustin, Lev Spodyneiko
https://arxiv.org/abs/2507.16966 https://arxiv.org…

Higher symmetries, anomalies, and crossed squares in lattice gauge theory
We examine higher-form symmetries of quantum lattice gauge theories through the lens of homotopy theory and operator algebras. We show that in the operator-algebraic approach both higher-form symmetries and 't Hooft anomalies arise from considering restrictions of symmetry transformations to spatial regions. The data of these restrictions are naturally packaged into a higher group. For example, for gauge theories in two spatial dimensions, this information is encoded in a crossed square of grou…

Eigenstate Thermalization in 1 1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
Diptarka Das, Lukas Ebner, Saurabh V. Kadam, Indrakshi Raychowdhury, Andreas Sch\"afer, Xiaojun Yao
https://arxiv.org/abs/2509.18269

SYK collective field theory as complex Liouville gravity
Andreas Blommaert, Damiano Tietto, Herman Verlinde
https://arxiv.org/abs/2509.18462 https://arxiv.…

Gauge interactions and the Galilean limit
Ashis Saha, Rabin Banerjee, Sunandan Gangopadhyay
https://arxiv.org/abs/2507.19083 https://arxiv.org/pdf/2507.190…

Gauge interactions and the Galilean limit
The gauge invariant minimal couplings for a class of relativistic free matter fields with global symmetry (related to usual charge conservation) have been obtained by incorporating an iterative Noether mechanism. Non-relativistic reduction of both matter and gauge sectors of the obtained interacting theory is then performed simultaneously which in turn yield a set of new effective actions which are invariant under the Galilean relativistic framework. To be precise, we show that one can obtain t…

Special K\"ahler geometries of $\mathcal{N}=4$ superYang-Mills
Philip C. Argyres, Antoine Bourget, Julius F. Grimminger, Matteo Lotito, Mitch Weaver
https://arxiv.org/abs/2510.02057

Special Kähler geometries of $\mathcal{N}=4$ superYang-Mills
The low energy effective theory on the moduli space of vacua of 4d superYang-Mills (sYM) theory defines a special Kähler geometry. For simple sYM gauge algebras, $\mathfrak{g}$, we classify all compatible special Kähler structures by showing that they are in one-to-one correspondence with certain equivalence classes of integral symplectic representations of the Weyl group of $\mathfrak{g}$. We further demonstrate that, for principal Dirac pairing, these equivalence classes are in one-to-one c…

Residual gauge symmetry and color confinement in the Yang-Mills theory
Naoki Fukushima, Kei-Ichi Kondo
https://arxiv.org/abs/2507.11101 https://

Residual gauge symmetry and color confinement in the Yang-Mills theory
We examine the restoration of the residual gauge symmetry in the Yang-Mills theory to be regarded as a confinement criterion. For this purpose we restrict the four-dimensional $SU(2)$ Yang-Mills instantons to those with spatial spherical symmetry $SO(3)$, which automatically causes the dimensional reduction of the four-dimensional $SU(2)$ Yang-Mills theory to the two-dimensional $U(1)$ gauge-scalar theory as implemented explicitly by the Witten transformation. In this setting, we show that the …

Ghost-free, gauge invariant SVT generalizations of Horndeski theory
S. Mironov, A. Shtennikova, M. Valencia-Villegas
https://arxiv.org/abs/2509.16850 https://

Ghost-free, gauge invariant SVT generalizations of Horndeski theory
We present a new type of Scalar-Vector-Tensor (SVT) theories with higher derivatives of all the fields in the action, but with second order equations of motion. The higher derivative vector field is invariant under a U(1) gauge transformation and the Scalar-Tensor sector corresponds to Horndeski theory. We also present a subclass of these SVT theories with 8 free functions of $π$ and $X$ where the speed of the tensor and vector modes is exactly the same. In particular, the Horndeski functions …

Hamiltonian Truncation Framework for Gauge Theories on the Interval
Rachel Houtz, James Ingoldby
https://arxiv.org/abs/2509.17890 https://arxiv.org/pdf/250…

Hamiltonian Truncation Framework for Gauge Theories on the Interval
In this work, we investigate gauge theories in two dimensions nonperturbatively using the Hamiltonian truncation approach. Working on a spatial interval and adopting the axial gauge, we remove all gauge field degrees of freedom and express the interacting Hamiltonian in the eigenbasis of the free Dirac theory, truncated at a finite energy. As a benchmark we analyse the Schwinger model, where our numerical spectra agree closely with the exact results from bosonization across a wide range of coup…

Mixed gauge-gravity term and proper time
J. R. Nascimento, M. Paganelly, A. Yu. Petrov, P. Porfirio
https://arxiv.org/abs/2507.14055 https://

Mixed gauge-gravity term and proper time
We consider the four-dimensional action of spinors minimally coupled to a $U(1)$-gauge field in an Riemann-Cartan background. In this theory, we integrate over the spinors and study the resulting one-loop gauge-gravity effective action, paying special attention to the contributions that depend on both the gauge field and the torsion. We explicitly calculate the gauge-torsion term, which turns out to be finite, and comment on possible terms depending simultaneously on torsion, curvature, and gau…

Dimers for Relativistic Toda Models with Reflective Boundaries
Kimyeong Lee, Norton Lee
https://arxiv.org/abs/2510.01768 https://arxiv.org/pdf/2510.01768…

Dimers for Relativistic Toda Models with Reflective Boundaries
We construct dimer graph for relativistic Toda chain associated with classical untwisted Lie algebra of A, B, C$_0$, C$_π$, D types and twisted A, D types. We show that the Seiberg-Witten curve of 5d $\CalN=1$ pure supersymmetric gauge theory of gauge group $G$ is a spectral curve of the relativistic Toda chain of the dual group $G^\vee$.

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…

$Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory
Saebyeok Jeong, Norton Lee
https://arxiv.org/abs/2507.15450 https://

$Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory
We study the quantization of the moduli space of multiplicative Higgs bundles through the lens of five-dimensional $\mathcal{N}=1$ supersymmetric gauge theories in $Ω$-background. We extend the 4d $\mathcal{N}=2$ gauge theoretical construction of key geometric and representation-theoretic structures, established in earlier works, to the five-dimensional uplift. We construct and analyze the $Q$-operators and $q$-opers associated with the canonical codimension-two defect: the $Q$-operators are d…