Tootfinder

Jazzaria – Odd Symmetry
https://www.clongclongmoo.org/2025/08/31/jazzaria-odd-symmetry/
@…

Quantifying non-equilibrium pressure-gradient turbulent boundary layers through a symmetry-based framework
Wei-Tao Bi, Ke-Xin Zheng, Jun Chen, Zhen-Su She
https://arxiv.org/abs/2508.21447

Quantifying non-equilibrium pressure-gradient turbulent boundary layers through a symmetry-based framework
This study establishes a symmetry-based framework to quantify non-equilibrium processes in complex pressure gradient (PG) turbulent boundary layers (TBLs), using a Lie-group-informed dilation-symmetry-breaking formalism. We derive a universal multilayer defect scaling law for the evolution of total shear stress (TSS). The law shows that gradually varying adverse pressure gradients (APGs) break the dilation symmetry in the two-layer defect scaling of equilibrium TSS, leading to three-layer TSS s…

Enhancing PINN Performance Through Lie Symmetry Group
Ali Haider Shah, Naveed R. Butt, Asif Ahmad, Muhammad Omer Bin Saeed
https://arxiv.org/abs/2509.26113 https://

Enhancing PINN Performance Through Lie Symmetry Group
This paper presents intersection of Physics informed neural networks (PINNs) and Lie symmetry group to enhance the accuracy and efficiency of solving partial differential equation (PDEs). Various methods have been developed to solve these equations. A Lie group is an efficient method that can lead to exact solutions for the PDEs that possessing Lie Symmetry. Leveraging the concept of infinitesimal generators from Lie symmetry group in a novel manner within PINN leads to significant improvements…

Exploiting Translational Symmetry for Quantum Computing with Squeezed Cat Qubits
Tomohiro Shitara, Gabriel Mintzer, Yuuki Tokunaga, Suguru Endo
https://arxiv.org/abs/2510.00497 …

Exploiting Translational Symmetry for Quantum Computing with Squeezed Cat Qubits
Squeezed cat quantum error correction (QEC) codes have garnered attention because of their robustness against photon-loss and excitation errors while maintaining the biased-noise property of cat codes. In this work, we reveal the utility of the unexplored translational symmetry of the squeezed cat codes, with applications to autonomous QEC, reliable logical operations, and readout in a non-orthogonal basis. Using the basis under subsystem decomposition spanned by squeezed displaced Fock states,…

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle
Vibhu Ravindran, Bowen Yang, Xie Chen
https://arxiv.org/abs/2510.00587 https://

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle
Manifolds with nontrivial topology play an essential role in the study of topological phases of matter. In this paper, we study the nontrivial symmetry response of the $2+1$D $Z_2$ symmetry-protected topological (SPT) phase when the system is put on a non-orientable manifold -- the Klein bottle. In particular, we find that when a symmetry defect is inserted along the orientation-reserving cycle of the Klein bottle, the ground state of the system gets an extra charge. This response remains well …

Formation Control via Rotation Symmetry Constraints
Zamir Martinez, Daniel Zelazo
https://arxiv.org/abs/2510.00676 https://arxiv.org/pdf/2510.00676

Formation Control via Rotation Symmetry Constraints
We present a distributed formation control strategy for multi-agent systems based only on rotation symmetry constraints. We propose a potential function that enforces inter-agent \textbf{rotational} symmetries, with its gradient defining the control law driving the agents toward a desired symmetric and planar configuration. We show that only $(n-1)$ edges, the minimal connectivity requirement, are sufficient to implement the control strategy, where $n$ is the number of agents. We further augmen…

Integral Identities from Symmetry Breaking of Conformal Defects
Ziwen Kong
https://arxiv.org/abs/2509.23797 https://arxiv.org/pdf/2509.23797

Integral Identities from Symmetry Breaking of Conformal Defects
In conformal field theory, the insertion of a defect breaks part of the global symmetry and gives rise to defect operators such as the tilts and displacements. We establish identities relating the integrated four-point functions of such operators to their two-point functions, derived both from the geometric properties of the defect conformal manifold, which is the symmetry-breaking coset, and from the Lie algebra of the corresponding broken symmetry generators. As an explicit example, we demons…

Particles before symmetry
Henrique Gomes
https://arxiv.org/abs/2509.25276 https://arxiv.org/pdf/2509.25276

Particles before symmetry
The standard model of particle physics relies heavily on the idea of symmetry. But recently, a new geometry-first picture has been proposed in which the relevant symmetries do not appear explicitly at the ground level of ontology. Here, I extend the initial correspondence to include alternative -- and more transparent -- accounts of spontaneous symmetry breaking and of the Yukawa coupling: both fundamental for particles to have masses. These reformulations allow us to replace explanations that …

Terahertz field-induced giant symmetry modulations in a van der Waals antiferromagnet
Sheikh Rubaiat Ul Haque, Martin J. Cross, Sangeeta Rajpurohit, Jonah B. Haber, Christopher J. Ciccarino, Alexandra C. Zimmerman, Isabelle J. Sealey, Vadym Kulichenko, Monique Tie, Huaiyu Wang, Sharon S. Philip, Choongwon Seo, Jake D. Koralek, Luis Balicas, Mykhaylo Ozerov, Dmitry Smirnov, Liang Z. Tan, Felipe H. da Jornada, Tadashi Ogitsu, Matthias C. Hoffmann, Tony F. Heinz, Aaron M. Lindenberg
…

Terahertz field-induced giant symmetry modulations in a van der Waals antiferromagnet
Strong-field terahertz (THz) excitations enable dynamic control over electronic, lattice and symmetry degrees of freedom in quantum materials. Here, we uncover pronounced terahertz-induced symmetry modulations and coherent phonon dynamics in the van der Waals antiferromagnet MnPS3, in which inversion symmetry is broken by its antiferromagnetic spin configuration. Time-resolved second harmonic generation measurements reveal long-lived giant oscillations in the antiferromagnetic phase, with ampli…

Symmetry breaking in collective decision-making through higher-order interactions
David March-Pons, Romualdo Pastor-Satorras, M. Carmen Miguel
https://arxiv.org/abs/2510.00853 h…

Symmetry breaking in collective decision-making through higher-order interactions
Collective decision-making is a widespread phenomenon in both biological and artificial systems, where individuals reach a consensus through social interactions. While traditional models of opinion dynamics and contagion focus on pairwise interactions, recent research emphasizes the importance of including higher-order group interactions and autonomous behavior to better reflect real-world complexity. In this work, we introduce a collective decision-making model inspired by social insects. In o…

Mirror symmetry and open/closed correspondence for the projective line
Jinghao Yu, Zhengyu Zong
https://arxiv.org/abs/2509.24727 https://arxiv.org/pdf/2509…

Mirror symmetry and open/closed correspondence for the projective line
We study the open/closed correspondence for the projective line via mirror symmetry. More explicitly, we establish a correspondence between the generating function of disk Gromov-Witten invariants of the complex projective line $\mathbb{P}^1$ with boundary condition specified by an $S^1$-invariant Lagrangian sub-manifold $L$ and the asymptotic expansion of the $I$-function of a toric surface $\mathcal{S}$.

Asymptotically safe quantum gravity: functional and lattice perspectives
Marc Schiffer
https://arxiv.org/abs/2509.26352 https://arxiv.org/pdf/2509.26352

Asymptotically safe quantum gravity: functional and lattice perspectives
Asymptotically safe quantum gravity is a candidate theory to quantum gravity, which could unify the gravitational interaction with particle physics. It is characterized by quantum scale-symmetry at high energies. The constraining power of scale symmetry could be strong enough to even explain some parameters of the Standard Model of particle physics from first principles.

A High-Quality Axion from Exact SUSY Chiral Dynamics
T. Gherghetta, H. Murayama, B. Noether, P. Qu\'ilez
https://arxiv.org/abs/2508.21813 https://arxiv…

A High-Quality Axion from Exact SUSY Chiral Dynamics
We use supersymmetric chiral dynamics perturbed by anomaly-mediated supersymmetry breaking to obtain a high-quality, composite axion that solves the strong CP problem. The strong dynamics arises from a supersymmetric SU(10) chiral gauge theory with massless matter chiral superfields. This leads to a stable, nonsupersymmetric vacuum, calculated exactly, where a spontaneously broken $U(1)$ global symmetry, identified with the Peccei-Quinn symmetry, gives rise to a composite QCD axion. The chiral …

Steady Gradient Ricci Solitons with $O(p)\times O(q)$ Symmetry
Lucas Lavoyer, Luke T. Peachey
https://arxiv.org/abs/2509.25081 https://arxiv.org/pdf/2509.2…

Steady Gradient Ricci Solitons with $O(p)\times O(q)$ Symmetry
We find new examples of steady gradient Ricci solitons with positive curvature operator in dimensions four and above. Utilising a procedure first introduced by Lai, we construct examples with $O(p) \times O(q)$ symmetry in dimension $p+q$ for any pair of integers $p,q \geq 2$ and discuss their asymptotic geometry.

Neutron Dark Decay in Neutron Stars: The Role of the Symmetry Energy
M. Divaris, Ch. C. Moustakidis
https://arxiv.org/abs/2508.21754 https://arxiv.org/pdf/…

Neutron Dark Decay in Neutron Stars: The Role of the Symmetry Energy
We conduct a systematic investigation of the influence of the nuclear symmetry energy on the proposed neutron decay into dark matter particles within the cores of neutron stars. Unlike the majority of previous studies that considered only pure neutron matter, the present analysis is extended to encompass $β$-stable nuclear matter. Furthermore, in relation to previous studies, the interactions between dark matter and baryons are incorporated and systematically studied regarding their effect on …

Symmetry-Aware Bayesian Optimization via Max Kernels
Anthony Bardou, Antoine Gonon, Aryan Ahadinia, Patrick Thiran
https://arxiv.org/abs/2509.25051 https://

Symmetry-Aware Bayesian Optimization via Max Kernels
Bayesian Optimization (BO) is a powerful framework for optimizing noisy, expensive-to-evaluate black-box functions. When the objective exhibits invariances under a group action, exploiting these symmetries can substantially improve BO efficiency. While using maximum similarity across group orbits has long been considered in other domains, the fact that the max kernel is not positive semidefinite (PSD) has prevented its use in BO. In this work, we revisit this idea by considering a PSD projectio…

Terahertz Quasi-BIC Metasurfaces for Ultra-Sensitive Biosensing and High-Speed Wireless Communications
Islam I. Abdulaal, Abdelrahman W. A. Elsayed, Omar A. M. Abdelraouf
https://arxiv.org/abs/2510.00357

Terahertz Quasi-BIC Metasurfaces for Ultra-Sensitive Biosensing and High-Speed Wireless Communications
Bound states in the continuum (BICs) have emerged as a revolutionary paradigm in terahertz (THz) photonics, enabling metasurfaces with theoretically infinite quality factors (Q-factors) and unprecedented light-matter control. This review synthesizes a decade of progress in THz-BIC research, tracing the evolution from foundational symmetry-protected designs to application-optimized quasi-BICs. We dissect multipolar origins, topological robustness, and symmetry-breaking strategies underpinning hi…

Odd-Parity Magnetism in Fe-Based Superconductors
Reuel Dsouza, Andreas Kreisel, Brian M. Andersen, Daniel F. Agterberg, Morten H. Christensen
https://arxiv.org/abs/2508.21673 ht…

Odd-Parity Magnetism in Fe-Based Superconductors
Odd-parity magnetism constitutes an intriguing phase of matter which breaks inversion symmetry while preserving time-reversal symmetry. Here we demonstrate that the Fe-based superconductors exhibiting coplanar magnetic order realize an odd-parity magnetic state by combining low-energy modeling with density-functional theory. In the absence of spin-orbit coupling, the electronic spins are polarized along the $k_z$-direction and the splitting of the up and down states exhibits an $h$-wave form-fa…

Information Loss and Cost in Symmetry Breaking
Javier Molina-Vilaplana, Germ\'an Sierra, H. C. Zhang
https://arxiv.org/abs/2509.24625 https://arxiv.org…

Information Loss and Cost in Symmetry Breaking
We develop an algebraic and information-theoretic framework to characterize symmetry breaking of generalized, non-invertible symmetries in two spatial dimensions. The reduction of symmetry is modeled within subfactor theory, where condensable Frobenius algebras play the role of subgroups in the categorical setting. This perspective naturally connects to the description of anyon condensation in topological phases of matter. Central to our approach are coarse-graining maps, or conditional expecta…

Topological non-Abelian Gauge Structures in Cayley-Schreier Lattices
Zolt\'an Guba, Robert-Jan Slager, Lavi K. Upreti, Tom\'a\v{s} Bzdu\v{s}ek
https://arxiv.org/abs/2509.25316

Topological non-Abelian Gauge Structures in Cayley-Schreier Lattices
Recently, novel crystalline constructions known as Cayley-Schreier lattices have been suggested as a platform for realizing arbitrary gauge fields in synthetic crystals with real hopping amplitudes. We show that Cayley-Schreier lattices can naturally give rise to implementable lattice systems that incorporate non-Abelian gauge structures transforming into a space-group symmetry. We show that the symmetry sectors can, moreover, be interpreted as blocks of spin models that can effectively realize…

Symmetry-preserving random batch Ewald method for constant-potential simulation of electrochemical systems
Weihang Gao, Qi Zhou, Qianru Zhang, Zhenli Xu
https://arxiv.org/abs/2509.24742

Symmetry-preserving random batch Ewald method for constant-potential simulation of electrochemical systems
Constant potential molecular dynamics simulation plays important role for applications of electrochemical systems, yet the calculation of charge fluctuation on electrodes remains a computational bottleneck. We propose a highly scalable, symmetry-preserving random batch Ewald (SRBE) algorithm to address this challenge. The SRBE algorithm deterministically computes the low-frequency components along the direction perpendicular to electrodes, while efficiently approximating the remaining component…

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…

Earth Is Getting Darker, Literally, and Scientists Are Trying To Find Out Why https://www.404media.co/earth-is-getting-darker-literally-and-scientists-are-trying-to-find-out-why/

Rolling with modular symmetry: quintessence and de Sitter in heterotic orbifolds
Hansel Gordillo-Ruiz, Miguel Hernandez-Segura, Ignacio Portillo-Castillo, Saul Ramos-Sanchez, Ivonne Zavala
https://arxiv.org/abs/2509.22781

Rolling with modular symmetry: quintessence and de Sitter in heterotic orbifolds
Modular invariance is a fundamental symmetry in string compactifications, constraining both the structure of the effective theory and the dynamics of moduli and matter fields. It has also gained renewed importance in the context of swampland conjectures and, independently, flavour physics. We investigate a modular-invariant scalar potential arising from heterotic orbifolds, where the flavour structure and moduli dynamics are jointly shaped by the underlying geometry. Focusing on a string-inspir…

Orbital Altermagnetism
Mingxiang Pan, Feng Liu, Huaqing Huang
https://arxiv.org/abs/2510.00509 https://arxiv.org/pdf/2510.00509

Orbital Altermagnetism
We introduce the concept of \emph{orbital altermagnetism}, a symmetry-protected magnetic order of pure orbital degrees of freedom. It is characterized with ordered anti-parallel orbital magnetic moments in real space but momentum-dependent orbital band splittings, analogous to spin altermagnetism. Using a minimal tight-binding model with complex hoppings in a square-kagome lattice, we show that such order inherently arises from staggered loop currents, producing a $d$-wave-like orbital-momentum…

Melting of colloidal crystal in a two-dimensional periodic substrate: Switch from a single crossover to two-stage melting
Akhilesh M P, Toby Joseph
https://arxiv.org/abs/2510.00659

Melting of colloidal crystal in a two-dimensional periodic substrate: Switch from a single crossover to two-stage melting
The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are comparable, the incommensurate nature of square and triangular ordering leads to the formation of a partially pinned solid with only one of the smallest {\bf G} vectors of the substrate present. This low-temperature phase has true long-range order. By varyin…

Symmetry restoration in a fast scrambling system
Sizheng Cao, Xian-Hui Ge
https://arxiv.org/abs/2509.26176 https://arxiv.org/pdf/2509.26176

Symmetry restoration in a fast scrambling system
Entanglement asymmetry -- used here as a direct probe of symmetry restoration -- provides a sharp diagnostic of post-quench dynamics. We test this idea in the complex Sachdev--Ye--Kitaev (cSYK) model with a conserved U(1) charge. Using exact diagonalization, we track the joint evolution of entanglement entropy and entanglement asymmetry after quenches from charge-asymmetric product states. We find rapid volume-law entanglement growth consistent with the subsystem eigenstate thermalization hypot…

Discrete quantum group coaction on the circle
Debashish Goswami, Suchetana Samadder
https://arxiv.org/abs/2508.21638 https://arxiv.org/pdf/2508.21638

Discrete quantum group coaction on the circle
We prove by an explicit calculation that if any Kac-type discrete quantum group $\mathcal{Q}$ has a faithful coaction on $C(S^1)$ which is `linear' in the sense that it leaves the space spanned by $\{ Z, \overline{Z} \}$ invariant, then $\mathcal{Q}$ must be classical, i.e. isomorphic with $C_0(Γ)$ for some discrete group $Γ$. This parallels the well-known result of non-existence of genuine compact quantum group symmetry obtained by the first author and his collaborators ([32] and the referen…

Diffraction by Circular and Triangular Apertures as a Diagnostic Tool of Twisted Matter Waves
Maksim Maksimov, Nikita Borodin, Daria Kargina, Dmitry Naumov, Dmitry Karlovets
https://arxiv.org/abs/2510.00826

Diffraction by Circular and Triangular Apertures as a Diagnostic Tool of Twisted Matter Waves
We study diffraction of twisted matter waves (electrons and light ions carrying orbital angular momentum $\ell/\hbar=0,\pm1,\pm2,\ldots$ by circular and triangular apertures. Within the scalar Kirchhoff-Fresnel framework, circular apertures preserve cylindrical symmetry and produce ringlike far-field profiles whose radii and widths depend on $|\ell|$ but are insensitive to its sign. In contrast, equilateral triangles break axial symmetry and yield structured patterns that encode both …

The REDTOP experiment: a $\eta/\eta^{\prime}$ factory to explore dark matter and physics beyond the Standard Model
Marcin Zielinski, Corrado Gatto
https://arxiv.org/abs/2509.26552

The REDTOP experiment: a $η/η^{\prime}$ factory to explore dark matter and physics beyond the Standard Model
The REDTOP experiment is a proposed super-$η$/$η'$ factory aimed at exploring physics beyond the Standard Model in the MeV-GeV range and rare $η$/$η'$ meson decays. With projected production rates exceeding $10^{13}$ $η$/year and $10^{12}$ $η'$/year, REDTOP will enable studies of symmetry violations and all four portals to the Dark Sector. Preliminary studies show sensitivity, which could open a broad possibility for exploring new physics and contribute to a deeper understanding of fundam…

Adaptive Canonicalization with Application to Invariant Anisotropic Geometric Networks
Ya-Wei Eileen Lin, Ron Levie
https://arxiv.org/abs/2509.24886 https://

Adaptive Canonicalization with Application to Invariant Anisotropic Geometric Networks
Canonicalization is a widely used strategy in equivariant machine learning, enforcing symmetry in neural networks by mapping each input to a standard form. Yet, it often introduces discontinuities that can affect stability during training, limit generalization, and complicate universal approximation theorems. In this paper, we address this by introducing \emph{adaptive canonicalization}, a general framework in which the canonicalization depends both on the input and the network. Specifically, w…

Next highest weight and other lower $SU(3)$ irreducible representations with proxy-$SU(4)$ symmetry for nuclei with $32 \le \mbox{Z,N} \le 46$
V. K. B. Kota
https://arxiv.org/abs/2510.00800

Next highest weight and other lower $SU(3)$ irreducible representations with proxy-$SU(4)$ symmetry for nuclei with $32 \le \mbox{Z,N} \le 46$
In the applications of proxy-SU(3) model in the context of determining $(β,γ)$ values for nuclei across the periodic table, for understanding the preponderance of triaxial shapes in nuclei with $Z \ge 30$, it is seen that one needs not only the highest weight (hw) or leading $SU(3)$ irreducible representation (irrep) $(λ_H, μ_H)$ but also the lower $SU(3)$ irreps $(λ,μ)$ such that $2λ+ μ=2λ_H + μ_H-3r$ with $r=0,1$ and $2$ [Bonatsos et al., Symmetry {\bf 16}, 1625 (2024)]. These give …

The Theory of Topo-Symmetric Extensions of Topological Groups
Es-said En-naoui
https://arxiv.org/abs/2510.00018 https://arxiv.org/pdf/2510.00018

The Theory of Topo-Symmetric Extensions of Topological Groups
We introduce the notion of \emph{topo-symmetric extensions} of topological groups, a new generalization of classical group extensions that incorporates both topological and symmetry constraints. We define morphisms between such extensions, construct the associated groupoid, and develop classification results in terms of adapted cohomology. Several new invariants are introduced, including dimension, stabilizer, and density invariants, which characterize the fine structure of these extensions. Ap…

Superconducting gap structures in wallpaper fermion systems
Kaito Yoda, Ai Yamakage
https://arxiv.org/abs/2509.25823 https://arxiv.org/pdf/2509.25823

Superconducting gap structures in wallpaper fermion systems
We theoretically investigate the superconducting gap structures in wallpaper fermions, which are surface states of topological nonsymmorphic crystalline insulators, based on a two-dimensional effective model. A symmetry analysis identifies six types of momentum-independent pair potentials. One hosts a point node, two host line nodes, and the remaining three are fully gapped. By classifying the Bogoliubov--de Gennes Hamiltonian in the zero-dimensional symmetry class, we show that the point and l…

Floquet-engineered moire quasicrystal patterns of ultracold atoms in twisted bilayer optical lattices
Zhenze Fan, Meiling Wang, Juan Wang, Yan Li
https://arxiv.org/abs/2508.21093

Floquet-engineered moire quasicrystal patterns of ultracold atoms in twisted bilayer optical lattices
We obtain moire quasicrystal patterns via Floquet-engineering intralayer-atomic interactions in twisted bilayer hexagonal optical lattices of ultracold atoms. By tracking the density wave amplitude, we partition the dynamical evolution into four distinct stages and verify the pattern changes of each stage in both real and momentum space. The spatial symmetry of the patterns is intimately tied to the modulation amplitudes and frequencies. Consequently, appropriately reducing the modulation frequ…

Symmetry of concentration and scaling for self-bounding functions
George Crowley, I\~naki Esnaola
https://arxiv.org/abs/2509.22375 https://arxiv.org/pdf/25…

Symmetry of concentration and scaling for self-bounding functions
We prove generalised concentration inequalities for a class of scaled self-bounding functions of independent random variables, referred to as ${(M,a,b)}$ self-bounding. The scaling refers to the fact that the component-wise difference is upper bounded by an arbitrary positive real number $M$ instead of the case $M=1$ previously considered in the literature. Using the entropy method, we derive symmetric bounds for both the upper and lower tails, and study the tightness of the proposed bounds. Ou…

Gauging the Standard Model 1-form symmetry via gravitational instantons
Mohamed M. Anber
https://arxiv.org/abs/2509.22788 https://arxiv.org/pdf/2509.22788

Gauging the Standard Model 1-form symmetry via gravitational instantons
We investigate the fate of the Standard Model (SM) $\mathbb Z_6^{(1)}$ electric $1$-form global symmetry in the background of gravitational instantons, focusing on Eguchi-Hanson (EH) geometries. We show that EH instantons support quantized $\mathbb Z_6^{(1)}$ fluxes localized on their $S^2$ bolt, inducing fractional topological charge without backreacting on the geometry. The requirement that quark and lepton wavefunctions be globally well-defined under parallel transport imposes boundary condi…

When Energy and Information Revolutions Meet 2D Janus
Long Zhang, Ziqi Ren, Li Sun, Yihua Gao, Deli Wang, Junjie He, Guoying Gao
https://arxiv.org/abs/2508.21425 https://…

When Energy and Information Revolutions Meet 2D Janus
The depletion of energy sources, worsening environmental issues, and the quantum limitations of integrated circuits for information storage in the post-Moore era, are pressing global concerns. Fortunately, two-dimensional (2D) Janus materials, possessing broken spatial symmetry, with emerging pressure-dependent and non-linear optical response, piezoelectricity, valley polarization, Rashba spin splitting and more, have established a substantial platform for exploring and applying modifiable phys…

PySymmetry: A Sage/Python Framework for the Symmetry Reduction of Linear G-Equivariant Systems
Leon D. da Silva, Marcelo P. Santos
https://arxiv.org/abs/2509.19479 https://

PySymmetry: A Sage/Python Framework for the Symmetry Reduction of Linear G-Equivariant Systems
Despite the prevalence of symmetry in scientific linear systems, these structural properties are often underutilized by standard computational software. This paper introduces PySymmetry, an open-source Sage/Python framework that implements classical representation theory to simplify G-equivariant linear systems. PySymmetry uses projection operators to generate symmetry-adapted bases, transforming equivariant operators into a more efficient block-diagonal form. Its functionalities include defini…

Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
Chuo-Kai Chang, Kazuma Saito, Nobuyuki Okuma, Hsien-Chung Kao, Chen-Hsuan Hsu
https://arxiv.org/abs/2509.23177

Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
We investigate a one-dimensional superconducting lattice that realizes all internal symmetries permitted in non-Hermitian systems, characterized by nonreciprocal hopping, onsite dissipation, and $s$-wave singlet pairing in a Su-Schrieffer-Heeger-type structure. The combined presence of pseudo-Hermiticity and sublattice symmetry imposes constraints on the energy spectra. We identify parameter regimes featuring real spectra, purely imaginary spectra, complex flat bands, and Majorana zero modes, t…

Divide, Discover, Deploy: Factorized Skill Learning with Symmetry and Style Priors
Rafael Cathomen, Mayank Mittal, Marin Vlastelica, Marco Hutter
https://arxiv.org/abs/2508.19953

Divide, Discover, Deploy: Factorized Skill Learning with Symmetry and Style Priors
Unsupervised Skill Discovery (USD) allows agents to autonomously learn diverse behaviors without task-specific rewards. While recent USD methods have shown promise, their application to real-world robotics remains underexplored. In this paper, we propose a modular USD framework to address the challenges in the safety, interpretability, and deployability of the learned skills. Our approach employs user-defined factorization of the state space to learn disentangled skill representations. It assig…

Replaced article(s) found for math.AG. https://arxiv.org/list/math.AG/new
[1/1]:
- Intrinsic Mirror Symmetry
Mark Gross, Bernd Siebert
https://

Non-Holomorphic $A_4$ Modular Symmetry in Type-I Seesaw: Implications for Neutrino Masses and Leptogenesis
Swaraj Kumar Nanda (SOA University), Maibam Ricky Devi (Gauhati University), Sudhanwa Patra (IIT Bhilai)
https://arxiv.org/abs/2509.22108

Non-Holomorphic $A_4$ Modular Symmetry in Type-I Seesaw: Implications for Neutrino Masses and Leptogenesis
We propose a minimal extension of the Standard Model with right-handed neutrinos, governed by a non-holomorphic $A_{4}$ modular flavor symmetry. Within this model framework, the light neutrino masses are generated via the popular type-I seesaw mechanism in which the structure of the Dirac neutrino Yukawa couplings is decided by nonholomorphic modular forms. Unlike conventional flavor models with ad hoc flavon fields, the structure of Dirac and Majorana mass matrices is entirely determined by a …

Linking numbers for periodic tangles
Yuka Kotorii, Ken'ichi Yoshida
https://arxiv.org/abs/2509.24568 https://arxiv.org/pdf/2509.24568

Linking numbers for periodic tangles
Periodic tangles are 1-dimensional submanifolds in the 3-space with translational symmetry. In this paper, we define the linking numbers for singly, doubly, and triply periodic tangles using appropriate motifs and show that they are well-defined and invariant under link-homotopy. Furthermore, we extend the notion to the higher order linking numbers for singly periodic tangles.

Existence, Nonexistence, and Symmetry of Positive Solutions for Fractional Laplacian Problems
Haipeng Lu, Mei Yu
https://arxiv.org/abs/2509.24454 https://a…

Existence, Nonexistence, and Symmetry of Positive Solutions for Fractional Laplacian Problems
This paper studies the properties of solutions to a class of elliptic and parabolic problems involving the fractional Laplacian. By applying the mountain pass theorem, we prove the existence of bounded classical positive solutions in the subcritical regime. Moreover, using the method of moving planes, we establish that these solutions are symmetric or monotone in the first variable. In contrast, we show that no such solutions exist in the supercritical or negative exponent cases. An analysis of…

Crosslisted article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[1/1]:
- Particles before symmetry
Henrique Gomes
https://arxiv.org…

Defending against Stegomalware in Deep Neural Networks with Permutation Symmetry
Birk Torpmann-Hagen, Michael A. Riegler, P{\aa}l Halvorsen, Dag Johansen
https://arxiv.org/abs/2509.20399

Defending against Stegomalware in Deep Neural Networks with Permutation Symmetry
Deep neural networks are being utilized in a growing number of applications, both in production systems and for personal use. Network checkpoints are as a consequence often shared and distributed on various platforms to ease the development process. This work considers the threat of neural network stegomalware, where malware is embedded in neural network checkpoints at a negligible cost to network accuracy. This constitutes a significant security concern, but is nevertheless largely neglected b…

On minimizing surfaces of the CR invariant energy $E_1$
Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang, Yongbing Zhang
https://arxiv.org/abs/2509.25780 https://a…

On minimizing surfaces of the CR invariant energy $E_1$
We study a CR-invariant equation for vanishing $E_1$ surfaces in the 3-dimensional Heisenberg group. This is shown to be a hyperbolic equation. We prove the local uniqueness theorem for an initial value problem and classify all such global surfaces with rotational symmetry. We also show that the Clifford torus in the CR 3-sphere is not a local minimizer of $E_1$ by computing the second variation.

Evidence of electronic instability driven structural distortion in the nodal line semimetal CoSn$_2$
Suman Nandi, Bishal Maity, Shovan Dan, Khadiza Ali, Bikash Patra, Anshuman Mondal, Gaston Garbarino, Pierre Rodi\`ere, Sitaram Ramakrishnan, Bahadur Singh, Arumugam Thamizhavel
https://arxiv.org/abs/2509.23221…

Evidence of electronic instability driven structural distortion in the nodal line semimetal CoSn$_2$
Understanding the mechanisms that drive spontaneous rotational symmetry breaking in correlated electron systems is a central challenge in condensed matter physics. Although such symmetry breaking phases have been studied in low-dimensional and strongly correlated materials, its emergence in structurally simpler compounds remains less explored. Here, we investigate non-magnetic CoSn$_2$ that is a centrosymmetric intermetallic compound crystallizing in a tetragonal structure at ambient conditions…

Localised Arrowheads: The building blocks of elastic turbulence in rectilinear, sheared polymer flows
Theo A. Lewy, Rich R. Kerswell
https://arxiv.org/abs/2509.26168 https://

Localised Arrowheads: The building blocks of elastic turbulence in rectilinear, sheared polymer flows
Pressure-driven flow of a dilute polymer solution has been numerically observed to possess a form of elastic turbulence which is organised around the interactions of localised versions of 2-dimensional `arrowhead' travelling waves (Page et al. Phys. Rev. Lett. 125, 154501, 2020). As a step to confirming this theoretically, we identify spanwise-localised arrowhead travelling waves by tracking a symmetry-breaking bifurcation of the known spanwise-invariant (2D) arrowhead to a spanwise-periodic st…

Emergence of General Relativity from Cosmological Constant Via Ghost Condensation
Ichiro Oda
https://arxiv.org/abs/2509.23648 https://arxiv.org/pdf/2509.23…

Emergence of General Relativity from Cosmological Constant Via Ghost Condensation
We show that starting with a cosmological constant in a curved space-time, the Einstein-Hilbert term of general relativity is generated through a ghost condensation. We fix Weyl symmetry, or equivalently local scale symmetry by a gauge condition $R = 0$ à la BRST formalism, and see that the condensation of the Faddeev-Popov ghosts, $\langle \bar c c \rangle \neq 0$ leads to a generation of the Einstein-Hilbert action of general relativity. This dynamical mechanism of symmetry breakdown for a g…

Permittivity-asymmetric qBIC metasurfaces for refractive index sensing
Xingye Yang, Alexander Antonov, Haiyang Hu, Andreas Tittl
https://arxiv.org/abs/2508.21574 https://…

Permittivity-asymmetric qBIC metasurfaces for refractive index sensing
Bound states in the continuum (BICs) provide exceptional light confinement due to their inherent decoupling from radiative channels. Small symmetry breaking transforms BIC into quasi-BIC (qBIC) that couples to free-space radiation enabling ultra-high-quality-factor (Q-factor) resonances desirable for refractive index (RI) sensing. In practical implementations, geometric asymmetry is typically employed. However, since the radiative loss remains fixed once fabricated, such metasurfaces exhibit on…

$su(2)$ symmetry of XX spin chains
Nicolas Cramp\'e, Rafael I. Nepomechie, Luc Vinet, Nabi Zare Harofteh
https://arxiv.org/abs/2508.20184 https://arxiv…

$su(2)$ symmetry of XX spin chains
We show that, after suitably adjusting a uniform transverse magnetic field, the generic inhomogeneous open XX spin chain has a two-fold degeneracy, and an exact $su(2)$ symmetry whose "inhomogeneous" generators depend on coefficients that can be explicitly computed for models associated with discrete orthogonal polynomials.

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 …

Limitations of detecting structural changes and time-reversal symmetry breaking in scanning tunneling microscopy experiments
Christopher Candelora, Ilija Zeljkovic
https://arxiv.org/abs/2509.22634

Limitations of detecting structural changes and time-reversal symmetry breaking in scanning tunneling microscopy experiments
The family of kagome superconductors $A$V$_3$Sb$_5$ ($A$=K, Cs, Rb) is an exciting playground for investigating various density waves, unusual superconductivity and a surprising time-reversal symmetry breaking despite the absence of spin magnetism. The origin of time-reversal symmetry breaking has been of particular interest, and conflicting results have been intensely debated. Scanning tunneling microscopy (STM) provided crucial evidence by the observation that apparent chirality associated wi…

Non-singular Bouncing Cosmology in $f(R,G,T)$--Quintom model
Farzad Milani
https://arxiv.org/abs/2510.00688 https://arxiv.org/pdf/2510.00688

Non-singular Bouncing Cosmology in $f(R,G,T)$--Quintom model
We present a unified framework for non-singular bouncing cosmologies in modified gravity, combining $f(R,G,T)$ geometry with quintom scalar dynamics in a flat FLRW universe. While single-field models achieve phantom divide line (PDL) crossing and stable bounces, our $f(R,G,T)$-quintom coupling provides a novel implementation of a \textit{double} PDL crossing of $ω_{\text{eff}}$ during the bounce. We address stability concerns through Hamiltonian analysis, showing that FLRW symmetry constrain…

Spin and Orbital Edelstein effect in gated monolayer transition metal dichalcogenides
Tapesh Gautam, S. Satpathy
https://arxiv.org/abs/2509.25634 https://a…

Spin and Orbital Edelstein effect in gated monolayer transition metal dichalcogenides
The Edelstein effect consists of the non-equilibrium accumulation of magnetization in response to an applied electric field in systems with broken inversion symmetry. While the spin Edelstein effect (SEE), originating from spin moments, is well established, its orbital counterpart, where magnetization arises from orbital moment, has only recently begun to attract attention. In this work, we investigate the orbital Edelstein effect (OEE) in gated monolayer transition-metal dichalcogenides (TMDs)…

Controlling the $\mathcal{PT}$ Symmetry Breaking Threshold in Bipartite Lattice Systems with Floquet Topological Edge States
Xinguang Li, Hongzheng Wu, Yangchun Zhao, Jinpeng Xiao, Yu Guo, Lei Li, Yajiang Chen, Xiaobing Luo
https://arxiv.org/abs/2508.18931

Controlling the $\mathcal{PT}$ Symmetry Breaking Threshold in Bipartite Lattice Systems with Floquet Topological Edge States
We investigate the control of the parity-time ($\mathcal{PT}$)-symmetry breaking threshold in a periodically driven one-dimensional dimerized lattice with spatially symmetric gain and loss defects. We elucidate the contrasting roles played by Floquet topological edge states in determining the $\mathcal{PT}$ symmetry breaking threshold within the high- and low-frequency driving regimes. In the high-frequency regime, the participation of topological edge states in $\mathcal{PT}$ symmetry breaking…

Stability of Lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition
Ken Abe, Kyudong Choi, In-Jee Jeong
https://arxiv.org/abs/2510.00539

Stability of Lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition
In this paper, we consider the stability of the Lamb dipole solution of the two-dimensional Euler equations in $\mathbb{R}^{2}$ and question under which initial disturbance the Lamb dipole is stable, motivated by experimental work on the formation of a large vortex dipole in two-dimensional turbulence. We assume (O) odd symmetry for the $x_2$-variable and (N) non-negativity in the upper half plane for the initial disturbance of vorticity, and establish the stability theorem of the Lamb dipole w…

Confinement of Polariton Condensates in quasi-Flatband BICs in Plasmonic and Dielectric Metasurfaces
Anton Matthijs Berghuis, Jose Luis Pura, Rafael P. Argante, Shunsuke Murai, Jos\'e A. S\'anchez-Gil, Jaime G\'omez Rivas
https://arxiv.org/abs/2509.26099

Confinement of Polariton Condensates in quasi-Flatband BICs in Plasmonic and Dielectric Metasurfaces
We investigate exciton-polariton condensation in square arrays, composed of either dielectric silicon (Si) or plasmonic silver (Ag) nanodisks, covered with a dye-doped layer. Both arrays support symmetry-protected bound states in the continuum (BICs) at normal incidence, featuring electric quadrupolar ($( Q_{xy} $)) and magnetic dipolar ($( m_z $)) characters. Due to differences in mode coupling, these BICs are split by $(\sim 10$) meV in the Si array, whereas they remain nearly degenerate in t…

Supersymmetric Axionic model in N = 1 Wess-Zumino gauge from CFJ approach
C. Rold\'an-Dom\'inguez, H. Belich, A. L. M. A. Nogueira, W. Spalenza, J. A. Helay\"el-Neto
https://arxiv.org/abs/2509.26089

Supersymmetric Axionic model in N = 1 Wess-Zumino gauge from CFJ approach
The main purpose behind this work has been to construct a Supersymmetric extension of Axionic Electrodynamics based on a Lorentz Symmetry-Violating framework. Thus, in addition to the axion and the photon, our model naturally incorporates its supersymmetric partners - the axino and the photino - and allows for the interaction between them. This enriches the Axionic Electrodynamics not only from a theoretical standpoint but also for its phenomenological relevance, providing additional interactio…

Properties of the full replica symmetry breaking free energy functional of the Ising spin glass on random regular graph
Francesco Concetti
https://arxiv.org/abs/2508.17049 https…

Properties of the full replica symmetry breaking free energy functional of the Ising spin glass on random regular graph
We analyze the full replica symmetry breaking (full--RSB) free energy functional for the Ising spin glass on a random regular graph proposed by the author in \cite{MyPaper}. We prove that the full--RSB formulation provides an improvement over any replica symmetry breaking approximation with a finite number of steps (finite--RSB), based on the Mézard-Parisi ansatz \cite{ParMezRRG1}. We provide a representation of that functional as the unique solution to a well-posed backward stochastic differe…

Electric-field control of pure spin photocurrent in germanene
Yaqing Yang, Zhen Zhang, Liwen Zhang, Liantuan Xiao, Suotang Jia, Jun Chen, Lei Zhang
https://arxiv.org/abs/2509.25691

Electric-field control of pure spin photocurrent in germanene
The electrical control of pure spin current remains a central challenge in spintronics, particularly in time-reversal symmetric systems composed of nonmagnetic elements, where spin and electric fields interact only indirectly. In this work, we develop a theoretical framework for electrically tuning pure spin photocurrent in two-dimensional materials with time-reversal symmetry via a gate electric field. Through theoretical analysis, we demonstrate that in systems with spin-orbit coupling and in…

Casimir effect between semitransparent mirrors in a Lorentz-violating background
Rom\'an Linares, C. A. Escobar, A. Mart\'in-Ruiz, E. Pl\'acido
https://arxiv.org/abs/2509.25627

Casimir effect between semitransparent mirrors in a Lorentz-violating background
We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting evaluation of the stress-energy tensor, we compute the vacuum expectation value of the energy density $T_{00}$. After a suitable renormalization, the Casimir energy is obtained as the difference between the vacuum configurations with and without the mirrors. We de…

Symmetry enforces entanglement at high temperatures
Amir-Reza Negari, Leonardo A. Lessa, Subhayan Sahu
https://arxiv.org/abs/2508.20166 https://arxiv.org/p…

Symmetry enforces entanglement at high temperatures
Many-body quantum systems with local interactions undergo "sudden death of entanglement" at high temperatures, whereby thermal states become classical mixtures of product states. We investigate whether symmetry constraints can prevent this phenomenon. We prove that strongly symmetric thermal states (canonical ensemble) of generic Hamiltonians with on-site Abelian symmetries remain entangled with non-zero entanglement negativity at arbitrarily high temperatures, under mild conditions on the symm…

Revealing Hidden Antiparallel Domains in Hexagonal Boron Nitride
Yeri Lee, Juseung Oh, Kyung Yeol Ma, Seung Jin Lee, Eui Young Jung, Yani Wang, Kenji Watanabe, Takashi Taniguchi, Hailin Peng, Hiroki Ago, Ki Kang Kim, Hyeon Suk Shin, Sunmin Ryu
https://arxiv.org/abs/2509.25910

Revealing Hidden Antiparallel Domains in Hexagonal Boron Nitride
Hexagonal boron nitride (hBN) supports a wide range of two-dimensional (2D) technologies, yet assessing its crystalline quality over large areas remains a fundamental challenge. Both antiparallel domains, an intrinsic outcome of epitaxy on high-symmetry substrates, and orientational domains have long evaded optical detection. Here, we show that interferometric second-harmonic generation (SHG) polarimetry provides a powerful, non-destructive probe of lattice orientation and structural integrity …

Machine learning approach to QCD kinetic theory
Sergio Barrera Cabodevila, Aleksi Kurkela, Florian Lindenbauer
https://arxiv.org/abs/2509.26374 https://arx…

Machine learning approach to QCD kinetic theory
The effective kinetic theory (EKT) of QCD provides a possible picture of various non-equilibrium processes in heavy- and light-ion collisions. While there have been substantial advances in simulating the EKT in simple systems with enhanced symmetry, eventually, event-by-event simulations will be required for a comprehensive phenomenological modeling. As of now, these simulations are prohibitively expensive due to the numerical complexity of the Monte Carlo evaluation of the collision kernels. I…

Observation of nonlinear topological corner states originating from different spectral charges
Victor O. Kompanets, Suge Feng, Yiqi Zhang, Yaroslav V. Kartashov, Yongdong Li, Sergei A. Zhuravitskii, Nikolay N. Skryabin, Alexander V. Kireev, Ivan V. Dyakonov, Alexander A. Kalinkin, Ce Shang, Sergei P. Kulik, Sergey V. Chekalin, Victor N. Zadkov
https://

Observation of nonlinear topological corner states originating from different spectral charges
Higher-order topological insulators (HOTIs) are unique topological materials supporting edge states with the dimensionality at least by two lower than the dimensionality of the underlying structure. HOTIs were observed on lattices with different symmetries, but only in geometries, where truncation of HOTI produces a finite structure with the same order of discrete rotational symmetry as that of the unit cell, thereby setting the geometry of insulator edge. Here we experimentally demonstrate a n…

Exact models of chiral flat-band superconductors
Zhaoyu Han, Jonah Herzog-Arbeitman, Qiang Gao, Eslam Khalaf
https://arxiv.org/abs/2508.21127 https://arxiv…

Exact models of chiral flat-band superconductors
Recent experiments have reported the surprising observation of superconductivity in flavor polarized, nearly flat bands (FBs) of rhombohedral graphene. Motivated by these findings, we introduce a class of models for single-flavor FBs with inversion symmetry, where we show a local attractive interaction between orbitals with opposite parities leads to an exact superconducting ground state. We argue that this model can be relevant to realistic multi-flavor systems including short-range repulsion,…

Scattering of Quantum Particles in Global de Sitter Spacetime II: Scalars in Deep Infrared
Tomasz R. Taylor, Bin Zhu
https://arxiv.org/abs/2509.25407 https://

Scattering of Quantum Particles in Global de Sitter Spacetime II: Scalars in Deep Infrared
We apply the S-matrix formalism developed in Part I to the interacting scalar theory in four-dimensional de Sitter spacetime. The amplitudes are computed in the angular momentum basis, appropriate to the representations of $SO(1,4)$ de Sitter symmetry group. We discuss the properties of wavefunctions in Bunch-Davies vacuum and derive a new integral representation for the Feynman propagator. We focus on deep infrared processes probing the large scale structure of spacetime, in particular on the …

Emergent Ising symmetry and supercritical fluids
Hong-Ming Cui, Zhong-Ying Fan
https://arxiv.org/abs/2509.17038 https://arxiv.org/pdf/2509.17038

Emergent Ising symmetry and supercritical fluids
The symmetry of Ising model questions any single crossover scenario for supercritical fluids. In this work, we firstly study a pair of thermodynamic crossovers $L^\pm$ analytically for the Van der Waals class fluids. We uncover an emergent $Z_2$ symmetry in addition to the universal scalings in the scaling regime for this class fluids. By using the self-reciprocal property between coexistenct phases, we further establish that under suitable conditions, the Ising symmetry generally emerges in th…

Interplay of competing bond-order and loop-current fluctuations as a possible mechanism for superconductivity in kagome metals
Asimpunya Mitra, Daniel J. Schultz, Yong Baek Kim
https://arxiv.org/abs/2510.00134

Interplay of competing bond-order and loop-current fluctuations as a possible mechanism for superconductivity in kagome metals
The pairing symmetry and underlying mechanism for superconducting state of AV${}_3$Sb${}_5$ (A=K, Rb, Cs) kagome metal has been a topic of intense investigation. In this work, we consider an 8-band minimal model, which includes V, and the two types of Sb, both within and above/below the kagome plane. This model captures the Fermi surface pocket with significant in-plane Sb contribution near the zone center, and also has the two types of van Hove singularities (VHS), one of which has a strong ou…

Replaced article(s) found for hep-ph. https://arxiv.org/list/hep-ph/new
[2/2]:
- Axion electrodynamics of Weyl superconductors with broken time-reversal symmetry
Vira Shyta, Jeroen van den Brink, Flavio S. Nogueira

A D-brane fantasy on noncommutative mirror symmetry, prelude: Noncommutative ringed spaces from local noncommutative crepant resolutions of a singular Calabi-Yau space, dynamical D-branes thereupon, and questions beyond
Chien-Hao Liu, Shing-Tung Yau
https://arxiv.org/abs/2509.19211

Implicit Augmentation from Distributional Symmetry in Turbulence Super-Resolution
Julia Balla, Jeremiah Bailey, Ali Backour, Elyssa Hofgard, Tommi Jaakkola, Tess Smidt, Ryley McConkey
https://arxiv.org/abs/2509.20683

Implicit Augmentation from Distributional Symmetry in Turbulence Super-Resolution
The immense computational cost of simulating turbulence has motivated the use of machine learning approaches for super-resolving turbulent flows. A central challenge is ensuring that learned models respect physical symmetries, such as rotational equivariance. We show that standard convolutional neural networks (CNNs) can partially acquire this symmetry without explicit augmentation or specialized architectures, as turbulence itself provides implicit rotational augmentation in both time and spac…

High-efficiency infrared upconversion imaging with nonlinear silicon metasurfaces empowered by quasi-bound states in the continuum
Tingting Liu, Jumin Qiu, Meibao Qin, Xu Tu, Huifu Qiu, Feng Wu, Tianbao Yu, Qiegen Liu, Shuyuan Xiao
https://arxiv.org/abs/2508.21782

High-efficiency infrared upconversion imaging with nonlinear silicon metasurfaces empowered by quasi-bound states in the continuum
Infrared imaging is indispensable for its ability to penetrate obscurants and visualize thermal signatures, yet its practical use is hindered by the intrinsic limitations of conventional detectors. Nonlinear upconversion, which converts infrared light into the visible band, offers a promising pathway to address these challenges. Here, we demonstrate high-efficiency infrared upconversion imaging using nonlinear silicon metasurfaces. By strategically breaking in-plane symmetry, the metasurface su…

Defect mediated quantum melting of charge ordered insulators
Abijith Krishnan, Ajesh Kumar, T. Senthil
https://arxiv.org/abs/2510.00099 https://arxiv.org/p…

Defect mediated quantum melting of charge ordered insulators
Two-dimensional (2d) electronic systems on a lattice at fractional filling $ν= p/q$ exhibit a competition between charge ordered insulators, called Wigner-Mott insulators (WMIs), at large Coulomb repulsion and Fermi-liquid metals at large electronic kinetic energy. When those two energy scales are roughly equal, insulating states that restore the lattice translation symmetry, which we call quantum charge liquids (QCLs), may emerge. When gapped, these QCLs must exhibit topological order. In thi…

On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking
Xiao-Ping Chen, Chun-Lei Tang
https://arxiv.org/abs/2508.15221 https://

On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking
This paper focus on the symmetry and symmetry breaking about the second order Hydrogen Uncertainty Principle. \emph{Firstly}, by choosing a suitable test function, we give a negative answer to the conjecture presented by Cazacu, Flynn and Lam in [\emph{J. Funct. Anal.} \textbf{283} (2022), Paper No. 109659, 37 pp] for $N\in\{2,3\}$, and emphasizing the symmetry breaking phenomenon. \emph{Secondly}, we obtain a family of sharp weighted second order Hydrogen Uncertainty Principle, and prove the e…

Ab initio study of magnetoresistance effect in $\mathrm{Mn_{3}Sn}/\mathrm{MgO}/\mathrm{Mn_{3}Sn}$ antiferromagnetic tunnel junction
Katsuhiro Tanaka, Yuta Toga, Susumu Minami, Satoru Nakatsuji, Takuya Nomoto, Takashi Koretsune, Ryotaro Arita
https://arxiv.org/abs/2509.21877

Ab initio study of magnetoresistance effect in $\mathrm{Mn_{3}Sn}/\mathrm{MgO}/\mathrm{Mn_{3}Sn}$ antiferromagnetic tunnel junction
The antiferromagnets with the time-reversal symmetry broken magnetic structures possess a finite spin splitting in the momentum space, and may contribute to a realization of a finite tunnel magnetoresistance (TMR) effect even with magnets with zero net spin polarization. In this paper, we study the TMR effect with the noncollinear antiferromagnet $\mathrm{Mn_{3}Sn}$ whose inverse $120^{\circ}$ antiferromagnetic order breaks the time-reversal symmetry. In particular, we employ the representative…

Flavor-changing signatures of spacetime-symmetry violations
N. Sherrill
https://arxiv.org/abs/2509.21641 https://arxiv.org/pdf/2509.21641

Flavor-changing signatures of spacetime-symmetry violations
This proceedings contribution discusses Lorentz and CPT violation in the context of charged-lepton flavor-changing processes. Particular emphasis is placed on coherent muon-to-electron conversion in muonic atoms. Data collected by the SINDRUM~II experiment at the Paul Scherrer Institute is used to extract constraints on mass dimension $d=5$ electromagnetic and $d=6$ quark-lepton effects. The Mu2e experiment at Fermilab and COMET experiment at the Japan Proton Accelerator Complex are projected t…

No-go theorem for single time-reversal invariant symmetry-protected Dirac fermions in 3 1d
Lei Gioia, Anton A. Burkov, Taylor L. Hughes
https://arxiv.org/abs/2508.19329 https://…

No-go theorem for single time-reversal invariant symmetry-protected Dirac fermions in 3+1d
We employ a general method, known as anomaly-matching, to derive new no-go theorems of fermionic lattice models. For our main result, we show that time-reversal invariant 3+1d lattice systems (such as Dirac and Weyl semimetals) can never admit a lone low-energy symmetry-protected Dirac fermion (or node), i.e., it must always come in higher muliplets or be fine-tuned. This theorem holds for both non-interacting and interacting systems as long as the electromagnetic $U(1)_{V,{\rm UV}}$ symmetry i…

Generation of C-band entangled photon pairs by biexciton-exciton cascade from symmetric InAs/InP quantum dots
Anna Musia{\l}, Maja Wasiluk, Katarzyna Roszak, Micha{\l} Gawe{\l}czyk, Wojciech Rudno-Rudzi\'nski, Pawe{\l} Wyborski, Johann P. Reithmaier, Mohamed Benyoucef, Grzegorz S\k{e}k
https://arxiv.org/abs/2509.24500

Generation of C-band entangled photon pairs by biexciton-exciton cascade from symmetric InAs/InP quantum dots
Hereby, we study the generation of pairs of polarization-entangled photons at telecom C-band by biexciton-exciton cascade from non-resonantly excited epitaxial InAs/InP quantum dots (QDs). It is realized without external tuning of the fine structure splitting (FSS), which does not exceed 10 $μ$eV in as-grown nanostructures, due to their high in-plane symmetry. Excitonic complexes are identified by means of excitation power-dependent and polarization-resolved magneto)microphotoluminescence. The…

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…

Ultrasound response to time-reversal symmetry breaking below the superconducting phase transition
Chris Halcrow, Paul Leask, Egor Babaev
https://arxiv.org/abs/2509.18922 https:/…

Multicriticality between Purely Gapless SPT Phases with Unitary Symmetry
Saranesh Prembabu, Ruben Verresen
https://arxiv.org/abs/2509.20431 https://arxiv.o…

Multicriticality between Purely Gapless SPT Phases with Unitary Symmetry
Symmetry-protected topological (SPT) phases are commonly required to have an energy gap, but recent work has extended the concept to gapless settings. This raises a natural question: what happens at transitions between inequivalent gapless SPTs? We address this for the simplest known case among gapless SPTs protected by a unitary symmetry group acting faithfully on the low-energy theory. To this end, we consider a qutrit version of the nearest-neighbor XX chain. Trimerizing the chain explicitly…

An emergent higher-form symmetry from type IIB superstring theory
Naoto Kan, Masashi Kawahira, Hiroki Wada
https://arxiv.org/abs/2509.10365 https://arxiv.o…

An emergent higher-form symmetry from type IIB superstring theory
We investigate a higher-form symmetry in type IIB superstring theory, which possesses an ${\rm SL}(2,\mathbb{Z})$ symmetry. From the point of view of the low-energy effective field theory, the ${\rm SL}(2,\mathbb{Z})$ symmetry is treated as a gauge symmetry. Hence, an $8$-form global symmetry $\mathbb{Z}_{12}^{[8]}$ emerges as a quantum symmetry. In this paper, we present an explicit construction of the topological operator associated with the $\mathbb{Z}_{12}^{[8]}$ symmetry. In this construct…

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…

Higher structure of non-invertible symmetries from Lagrangian descriptions
Seolhwa Kim, Orr Sela, Zhengdi Sun
https://arxiv.org/abs/2509.20540 https://arxi…

Higher structure of non-invertible symmetries from Lagrangian descriptions
The symmetry structure of a quantum field theory is determined not only by the topological defects that implement the symmetry and their fusion rules, but also by the topological networks they can form, which is referred to as the higher structure of the symmetry. In this paper, we consider theories with non-invertible symmetries that have an explicit Lagrangian description, and use it to study their higher structure. Starting with the 2d free compact boson theory and its non-invertible duality…

Electroweak symmetry non-restoration and suppressed dark radiation in Supersymmetric Twin Higgs model
Marcin Badziak, Keisuke Harigaya, Ignacy Na{\l}\k{e}cz
https://arxiv.org/abs/2508.15894

Electroweak symmetry non-restoration and suppressed dark radiation in Supersymmetric Twin Higgs model
We investigate a possibility of electroweak symmetry non-restoration (SNR) below the Twin electroweak scale ($\sim$TeV) within the Twin Higgs model. We focus on supersymmetric extensions with light sfermions where SNR is driven by mirror symmetry breaking in the Yukawa couplings. The inclusion of light scalars not only stabilizes the electroweak scale, but also extends SNR into new regions of the parameter space and enables a first-order phase transition. When this model is augmented with right…

Lorentz Covariance of the $4d$ Nonlinear Higher-Spin Equations via BRST
O. A. Gelfond, M. A. Vasiliev
https://arxiv.org/abs/2509.22852 https://arxiv.org/pd…

Lorentz Covariance of the $4d$ Nonlinear Higher-Spin Equations via BRST
We propose a BRST extension of the higher-spin gauge theory in $AdS_4$ with the BRST operator associated with the local Lorentz symmetry. Our construction supports manifest local Lorentz covariance and is applicable both to any homotopy scheme of the perturbative analysis including the recently proposed differential homotopy and to the variety of further extended higher-spin models in $AdS_3$ and $AdS_4$ with higher differential forms and Coxeter higher-spin algebras.

Residual Symmetries and Algebraic Structures in the Kerr-Schild Double Copy I
Brandon Holton
https://arxiv.org/abs/2509.24112 https://arxiv.org/pdf/2509.24…

Residual Symmetries and Algebraic Structures in the Kerr-Schild Double Copy I
The Kerr-Schild double copy is celebrated for producing exact gravitational spacetimes from gauge fields, yet the preservation of symmetry content has been less explored. We investigate the fate of residual symmetries in the Kerr-Schild double copy, focusing on the Schwarzschild solution. On the gauge theory side, we derive the residual transformations that preserve the Kerr-Schild potential, finding they form an infinite-dimensional parameterized by arbitrary null functions. On the gravity sid…

Study the decays of $\chi _{cJ}(J=0,1,2)$ to light meson pairs with SU(3) flavor symmetry/breaking analysis
Bo Lan, Qin-Ze Song, Jin-Huan Sheng, Yi Qiao, Ru-Min Wang
https://arxiv.org/abs/2508.16372

Study the decays of $χ_{cJ}(J=0,1,2)$ to light meson pairs with SU(3) flavor symmetry/breaking analysis
Based on available experimental results on $χ_{cJ}(J=0,1,2)$ decays, we investigate the $χ_{cJ}\to PP$, $VV$, $PV$, and $PT$ decays by using SU(3) flavor symmetry/breaking approach, where $P$, $V$, and $T$ denote light pseudoscalar, vector, and tensor mesons, respectively. With the decay amplitude relations determined by SU(3) flavor symmetry/breaking, we present the branching ratios for all $χ_{cJ}\to PP$ and $χ_{cJ}\to VV$ modes, including ones without experimental data. While theoretical…

Complete Classification of Domain Wall Solutions in the $\mathbb{Z}_2$-symmetric 2HDM
Richard A. Battye, Steven J. Cotterill, Adam K. Thomasson
https://arxiv.org/abs/2509.23332 …

Complete Classification of Domain Wall Solutions in the $\mathbb{Z}_2$-symmetric 2HDM
We present a complete classification of domain wall solutions in the two-Higgs Doublet Model (2HDM) with a global $\mathbb{Z}_2$ symmetry, categorised as superconducting, CP-violating, or neither, depending on the scalar particle masses and the ratio of the two Higgs doublets' vacuum expectation values. We demonstrate that any domain wall solution can be reduced to depend on only six of the eight general field components, with further field reductions possible within different regions of the pa…

Quantum Stability at One Loop for BPS Membranes in a Lorentz-Covariant RVPD Matrix Model
So Katagiri
https://arxiv.org/abs/2509.23853 https://arxiv.org/pdf…

Quantum Stability at One Loop for BPS Membranes in a Lorentz-Covariant RVPD Matrix Model
We present the first rigorous one-loop demonstration that the Lorentz-covariant M2-brane matrix model with Restricted Volume-Preserving Deformations (RVPD) preserves the quantum stability of its BPS membranes. By exploiting the closure of the restricted kappa-symmetry with RVPD, the BRST complex terminates without higher ghosts and the gauge-fixed measure remains under analytic control. Performing the one-loop expansion around BPS backgrounds, we match bosonic and fermionic spectra, prove tha…

Vectorlike lepton imprints at lepton $g-2$ measurements and $e^ e^-$ colliders
Sang Quang Dinh, Hieu Minh Tran
https://arxiv.org/abs/2508.20873 https://arx…

Vectorlike lepton imprints at lepton $g-2$ measurements and $e^+e^-$ colliders
A fermion can be chiral or vectorlike with respect to a given symmetry, depending on its coupling to the corresponding gauge boson. Vectorlike fermions have a distinct property that their left-handed and right-handed components behave in the same way under the gauge symmetry. In this paper, we investigate an extension of the standard model with an $SU(2)$ doublet of vectorlike leptons and two complex scalars. The new physics effects on the lepton anomalous magnetic moment, as well as the electr…

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…

Finite-temperature stability from doublet inflation field with right-handed neutrinos
Shilpa Jangid, Seong Chan Park
https://arxiv.org/abs/2509.23748 https://

Finite-temperature stability from doublet inflation field with right-handed neutrinos
We study the augmentation of the Standard Model (SM) with another $SU(2)$ Higgs doublet and right-handed neutrinos. The second Higgs doublet ($Φ_2$) is defined to be odd under the $Z_2$ symmetry, and hence, the lightest stable neutral particle from the additional doublet becomes the cold dark matter candidate. The right-handed neutrino field coupled to the Higgs field provides non-zero mass for the neutrinos. The inert doublet field coupled non-minimally to gravity as $ζ_2 Φ_2^\dagger Φ_2 R…

Loop-Level Double Copy Relations from Forward Limits
Qu Cao, Song He, Yong Zhang, Fan Zhu
https://arxiv.org/abs/2509.25129 https://arxiv.org/pdf/2509.25129…

Loop-Level Double Copy Relations from Forward Limits
We study double copy relations for loop integrands in gauge theories and gravity based on their constructions from single cuts, which are in turn obtained from forward limits of lower-loop cases. While such a construction from forward limits has been realized for loop integrands in gauge theories, we demonstrate its extension to gravity by reconstructing one-loop gravity integrands from forward limits of trees. Under mild symmetry assumptions on tree-level kinematic numerators (and their forwar…

Type I II Seesaw Model in light of the New Neutrino Oscillation Measurements
Maria Aguilar, Juan Carlos Helo, Toshihiko Ota, Farinaldo S. Queiroz, David Suarez, Amanda Rodr\'iguez
https://arxiv.org/abs/2509.23508

Type I + II Seesaw Model in light of the New Neutrino Oscillation Measurements
Global analysis of neutrino oscillation data slightly favors normal mass ordering. In this work, we investigate an extended scalar sector that naturally gives rise to a type I + II seesaw mechanism after spontaneous symmetry breaking and explore the interplay between collider physics and lepton flavor violation, adopting normal ordering. In particular, we focus on the rare muon decays $μ\rightarrow e γ$ and $μ\rightarrow 3e$ and the same-sign dilepton searches at LHC, a canonical signature o…

Dynamical Tension Strings with Target Scale Symmetry producing DE, DM and why 4D?
Eduardo Guendelman
https://arxiv.org/abs/2508.17333 https://arxiv.org/pdf…

Dynamical Tension Strings with Target Scale Symmetry producing DE, DM and why 4D?
In the modified measure formulation string or branes the tension appear as an additional dynamical degree of freedom . Furthermore in the presence of an additional background scalar field that couples to the strings and locally changes the tension, the tension field really dynamical and the theory has an intrinsic target space scale symmetry. When many types of strings probing the same region of space are considered this tension scalar is constrained by the requirement of quantum conformal inva…