Tootfinder

This https://arxiv.org/abs/2302.02782 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Mirror Map for Landau-Ginzburg models with nonabelian groups
BHK mirror symmetry as introduced by Berglund--Hübsch and Marc Krawitz between Landau--Ginzburg (LG) models has been the topic of much study in recent years. An LG model is determined by a potential function and a group of symmetries. BHK mirror symmetry is only valid when the group of symmetries is comprised of the so-called diagonal symmetries. Recently, an extension to BHK mirror symmetry to include nonabelian symmetry groups has been conjectured. In this article, we provide a mirror map at…

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle ${\rm PSU}(3,q)$, $q\geq 3$
Jianbing Lu, Yingnan Zhang, Hanlin Zou
https://arxiv.org/abs/2403.00240

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle ${\rm PSU}(3,q)$, $q\geq 3$
A central problem in the study of generalized quadrangles is to classify finite generalized quadrangles satisfying certain symmetry conditions. It is known that an automorphism group of a finite thick generalized quadrangle $\mathcal{S}$ acting primitively on both the points and lines of $\mathcal{S}$ must be almost simple. In this paper, we initiate the study of finite generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle being a unitary group. We…

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle ${\rm PSU}(3,q)$, $q\geq 3$
Jianbing Lu, Yingnan Zhang, Hanlin Zou
https://arxiv.org/abs/2403.00240

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle ${\rm PSU}(3,q)$, $q\geq 3$
A central problem in the study of generalized quadrangles is to classify finite generalized quadrangles satisfying certain symmetry conditions. It is known that an automorphism group of a finite thick generalized quadrangle $\mathcal{S}$ acting primitively on both the points and lines of $\mathcal{S}$ must be almost simple. In this paper, we initiate the study of finite generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle being a unitary group. We…

Higher-group global symmetry and the bosonic M5 brane
Jay Armas, Giorgos Batzios, Akash Jain
https://arxiv.org/abs/2402.19458 https://

Higher-group global symmetry and the bosonic M5 brane
Higher-group symmetries are combinations of higher-form symmetries which appear in various field theories. In this paper, we explain how higher-group symmetries arise in 10d and 11d supergravities when the latter are coupled to brane sources. Motivated by this observation, we study field theories at zero and finite temperature invariant under a class of continuous Abelian higher-group symmetries. We restrict the analysis to the low-energy regime where the dynamical field content exclusively con…

New invariants of involutions from Seiberg-Witten Floer theory
David Baraglia, Pedram Hekmati
https://arxiv.org/abs/2403.00203 https://

New invariants of involutions from Seiberg-Witten Floer theory
We study equivariant Seiberg-Witten Floer theory of rational homology $3$-spheres in the special case where the group action is given by an involution. The case of involutions deserves special attention because we can couple the involution to the charge conjugation symmetry of Seiberg-Witten theory. This leads to new Floer-theoretic invariants which we study and apply in a variety of applications. In particular, we construct a series of delta-invariants $δ^E_*, δ^R_*, δ^S_*$ which are the eq…

Schur-Weyl dualities for the rook monoid: an approach via Schur algebras
Carlos A. M. Andr\'e, In\^es Legatheaux Martins
https://arxiv.org/abs/2404.01493

Schur-Weyl dualities for the rook monoid: an approach via Schur algebras
The rook monoid, also known as the symmetric inverse monoid, is the archetypal structure when it comes to extend the principle of symmetry. In this paper, we establish a Schur-Weyl duality between this monoid and an extension of the classical Schur algebra, which we name the extended Schur algebra. We also explain how this relates to Solomon's Schur-Weyl duality between the rook monoid and the general linear group and mention some advantages of our approach.

This https://arxiv.org/abs/2312.13353 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Classification of connected étale algebras in modular fusion categories up to rank five
We classify connected étale algebras in (possibly non-unitary) modular fusion categories $\mathcal B$'s with $\text{rank}(\mathcal B)\le5$. We also comment on Lagrangian algebra, anyon condensation, and physical applications. Concretely, we prove certain spontaneous $\mathcal B$-symmetry breaking and predict ground state degeneracies in massive renormalization group flows from non-unitary minimal models.

This https://arxiv.org/abs/2308.16901 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Eclectic flavor group $Δ(27)\rtimes S_3$ and lepton model building
We have performed a systematical study of the eclectic flavor group $Δ(27)\rtimes S_3$ which is the extension of the traditional flavor symmetry $Δ(27)$ by the finite modular symmetry $S_3$. Consistency between $Δ(27)$ and $S_3$ requires that the eight nontrivial singlet representations of $Δ(27)$ should be arranged into four reducible doublets. The modular transformation matrices are determined for various $Δ(27)$ multiplets, and the CP-like symmetry compatible with $Δ(27)\rtimes S_3$ ar…

Symmetry-restricted quantum circuits are still well-behaved
Maximilian Balthasar Mansky, Santiago Londo\~no Castillo, Miguel Armayor-Mart\'inez, Alejandro Bravo de la Serna, Gautham Sathish, Zhihao Wang, Sebastian W\"olckerlt, Claudia Linnhoff-Popien
https://arxiv.org/abs/2402.16329…

Symmetry-restricted quantum circuits are still well-behaved
We show that quantum circuits restricted by a symmetry inherit the properties of the whole special unitary group $SU(2^n)$, in particular composition, algebraic and topological closedness and connectedness. It extends prior work on symmetric states to the operators and shows that the operator space follows the same structure as the state space. The well-behavedness is independent of the symmetry requirement imposed on the subgroup. We provide an example of a permutation invariance across all qu…

This https://arxiv.org/abs/2302.08517 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Spatially modulated superconductivity in the Kagome Hubbard model
We identify a superconducting order featuring spatial pair modulations on the kagome lattice subject to onsite Hubbard U and nearest neighbor V interactions. Within our functional renormalization group analysis, this state appears with a concomitant d-wave superconducting (SC) instability at zero lattice momentum, where it distinguishes itself through intra-unit cell modulations of the pairing function thus breaking the discrete space group symmetry. The relative weight of the sublattice modula…

This https://arxiv.org/abs/2310.00105 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Latent Space Symmetry Discovery
Equivariant neural networks require explicit knowledge of the symmetry group. Automatic symmetry discovery methods aim to relax this constraint and learn invariance and equivariance from data. However, existing symmetry discovery methods are limited to simple linear symmetries and cannot handle the complexity of real-world data. We propose a novel generative model, Latent LieGAN (LaLiGAN), which can discover symmetries of nonlinear group actions. It learns a mapping from the data space to a lat…

Which symmetry group for elementary particles with an electric charge today and in the past?
G\'ery de Saxc\'e
https://arxiv.org/abs/2403.14846 htt…

Which symmetry group for elementary particles with an electric charge today and in the past?
In this paper, we revisit the Kaluza-Klein theory from the perspective of the classification of elementary particles based on the coadjoint orbit method. We study the momentum map of the corresponding symmetry group $G_1$ which conserves the hyperbolic metric. We show that the electric charge is not frame-invariant, in contradiction with the experimental observations. In other words, it is not the symmetry group of the Universe today as we know it. To avert this paradox, we scale the fifth coor…

Charge-State Stabilization of Neutral Group-IV Impurity-Vacancy Color Centers in Hydrogen-Terminated Diamond
Rodrick Kuate Defo, Steven L. Richardson
https://arxiv.org/abs/2402.17083

Charge-State Stabilization of Neutral Group-IV Impurity-Vacancy Color Centers in Hydrogen-Terminated Diamond
Charge-state stabilization of the neutral group-IV impurity-vacancy color centers in diamond has thus far proved difficult to achieve reliably. The neutral group-IV color centers, however, provide a robust alternative to the NV$^-$ center in diamond given their inversion symmetry which renders them less susceptible to spectral diffusion. In this work, we show that the ratio for the occurrences of SiV$^0$ in hydrogen-terminated and oxygen-terminated diamond [see Zi-Huai Zhang et al., Phys. Rev. …

Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group
Niklas Rasch, Aleksandr N. Mikheev, Thomas Gasenzer
https://arxiv.org/abs/2402.19239

Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group
Wilson's renormalization-group approach to the weakly-interacting single-component Bose gas is discussed within the symmetry-broken, condensate phase. Extending upon the work by Bijlsma and Stoof [Phys. Rev. A 54, 5085 (1996), see http://doi.org/10.1103/PhysRevA.54.5085 ], wave-function renormalization of the temporal derivative contributions to the effective action is included in order to capture sound-like quasiparticle excitations with wave lengths larger than the healing-length scale. By me…

Symmetry-restricted quantum circuits are still well-behaved
Maximilian Balthasar Mansky, Santiago Londo\~no Castillo, Miguel Armayor-Mart\'inez, Alejandro Bravo de la Serna, Gautham Sathish, Zhihao Wang, Sebastian W\"olckerlt, Claudia Linnhoff-Popien
https://arxiv.org/abs/2402.16329…

Symmetry-restricted quantum circuits are still well-behaved
We show that quantum circuits restricted by a symmetry inherit the properties of the whole special unitary group $SU(2^n)$, in particular composition, algebraic and topological closedness and connectedness. It extends prior work on symmetric states to the operators and shows that the operator space follows the same structure as the state space. The well-behavedness is independent of the symmetry requirement imposed on the subgroup. We provide an example of a permutation invariance across all qu…

This https://arxiv.org/abs/2302.08517 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Spatially modulated superconductivity in the Kagome Hubbard model
We identify a superconducting order featuring spatial pair modulations on the kagome lattice subject to onsite Hubbard U and nearest neighbor V interactions. Within our functional renormalization group analysis, this state appears with a concomitant d-wave superconducting (SC) instability at zero lattice momentum, where it distinguishes itself through intra-unit cell modulations of the pairing function thus breaking the discrete space group symmetry. The relative weight of the sublattice modula…

Structure Preserving Diffusion Models
Haoye Lu, Spencer Szabados, Yaoliang Yu
https://arxiv.org/abs/2402.19369 https://arxiv.org/pdf/…

Structure Preserving Diffusion Models
Diffusion models have become the leading distribution-learning method in recent years. Herein, we introduce structure-preserving diffusion processes, a family of diffusion processes for learning distributions that possess additional structure, such as group symmetries, by developing theoretical conditions under which the diffusion transition steps preserve said symmetry. While also enabling equivariant data sampling trajectories, we exemplify these results by developing a collection of differen…

This https://arxiv.org/abs/2307.01763 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

On evolution kernels of twist-two operators
The evolution kernels that govern the scale dependence of the generalized parton distributions are invariant under transformations of the $\mathrm{SL}(2,\mathrm R)$ collinear subgroup of the conformal group. Beyond one loop the symmetry generators, due to quantum effects, differ from the canonical ones. We construct the transformation which brings the {\it full} symmetry generators back to their canonical form and show that the eigenvalues (anomalous dimensions) of the new, canonically invarian…

This https://arxiv.org/abs/2401.16725 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Exploiting Equivariance in the Design of Tracking Controllers for Euler-Poincare Systems on Matrix Lie Groups
The trajectory tracking problem is a fundamental control task in the study of mechanical systems. A key construction in tracking control is the error or difference between an actual and desired trajectory. This construction also lies at the heart of observer design and recent advances in the study of equivariant systems have provided a template for global error construction that exploits the symmetry structure of a group action if such a structure exists. Hamiltonian systems are posed on the co…

Orbifold Kodaira-Spencer maps and closed-string mirror symmetry for punctured Riemann surfaces
Hansol Hong, Hyeongjun Jin, Sangwook Lee
https://arxiv.org/abs/2402.14360

Orbifold Kodaira-Spencer maps and closed-string mirror symmetry for punctured Riemann surfaces
When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant TQFT-type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau-Ginzburg mirror of a punctured Riemann surface given as an abelian cover of the pair-of-pants, and prove its closed-string mirror symmetry using the (part of) closed-open map tw…

This https://arxiv.org/abs/2307.13087 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Jointly Equivariant Dynamics for Interacting Particles
Let a finite set of interacting particles be given, together with a symmetry Lie group $G$. Here we describe all possible dynamics that are jointly equivariant with respect to the action of $G$. This is relevant e.g., when one aims to describe collective dynamics that are independent of any coordinate change or external influence. We particularize the results to some key examples, i.e. for the most basic low dimensional symmetries that appear in collective dynamics on manifolds.

Quasi-Nambu-Goldstone modes in many-body scar models
Jie Ren, Yu-Peng Wang, Chen Fang
https://arxiv.org/abs/2405.00785 https://arxiv.…

Quasi-Nambu-Goldstone modes in many-body scar models
From the quasisymmetry-group perspective [Phys. Rev. Lett. 126, 120604 (2021)], we show the universal existence of collective, coherent modes of excitations with small momenta in many-body scar models in the degenerate limit, where the energy spacing in the scar tower vanishes. The number of these modes, as well as the quantum numbers carried by them, are given, not by the symmetry of the Hamiltonian, but by the quasisymmetry of the scar tower: hence the name quasi-Goldstone modes. Based on thi…

Tactical decompositions in finite polar spaces and non-spreading classical group actions
John Bamberg, Michael Giudici, Jesse Lansdown, Gordon F. Royle
https://arxiv.org/abs/2403.17576

Tactical decompositions in finite polar spaces and non-spreading classical group actions
For finite classical groups acting naturally on the set of points of their ambient polar spaces, the symmetry properties of \emph{synchronising} and \emph{separating} are equivalent to natural and well-studied problems on the existence of certain configurations in finite geometry. The more general class of \emph{spreading} permutation groups is harder to describe, and it is the purpose of this paper to explore this property for finite classical groups. In particular, we show that for most finit…

This https://arxiv.org/abs/2403.07759 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Models of Accidental Dark Matter with a Fundamental Scalar
We consider models of accidental dark matter, namely models in which the dark matter is a composite state that is stable thanks to an accidental symmetry of the theory. The fundamental constituents are vectorlike fermions, taken to be fragments of representations of the grand unifying gauge group $SU(5)$, as well as a scalar singlet. All the new fields are charged under a new confining gauge group, which we take to be $SU(N)$, leading to models with complex dark matter. We analyse the models in…

Theoretical investigation on the optical absorption spectra in cyclo[n]carbons (n=10, 14, 18)
Xuhai Hong, Lang Su, Jie Li
https://arxiv.org/abs/2403.19952 …

Theoretical investigation on the optical absorption spectra in cyclo[n]carbons (n=10, 14, 18)
The optical absorption spectra of cyclo[n]carbons (n=10, 14, 18) are investigated in the framework of time-dependent density functional theory. The collective plasmon excitations well develop as the increases of the ring size and the symmetry group of cyclo[n]carbons. An increase in intensity for the main peaks with the growing number of atoms in cyclo[n]carbons is observed. With the increase of the radius of the monocyclic ring, as more electrons participate in the dipole oscillation the main …

Non-Invertible Duality Interfaces in Field Theories with Exotic Symmetries
Ryan C. Spieler
https://arxiv.org/abs/2402.14944 https://a…

Non-Invertible Duality Interfaces in Field Theories with Exotic Symmetries
In recent years, the concept of global symmetry has generalized considerably. Two dramatic examples of this generalization are the exotic symmetries that govern theories with fractons and non-invertible symmetries, which do not fuse according to a group law. Only recently has the interplay between these two been examined. In this paper, we provide further examples of the interplay in the XY plaquette model, XY cube model, 1+1 d theory with global dipole symmetry, and the 2+1 d Lifshitz theory. …

This https://arxiv.org/abs/2402.06241 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Quantum Automorphism Group of Direct Sum of Cuntz Algebras
In 1998, Wang constructed an ergodic action of the compact quantum group $U_n^+$ (free unitary quantum group) on the Cuntz algebra $\mathcal{O}_n$. Later, in 2018-2019, S. Joardar and A. Mandal showed that the quantum automorphism group of the Cuntz algebra $\mathcal{O}_{n}$ (as a graph $C^*$-algebra) is $U_n^+$ in the category introduced by them. In this article, we explore the quantum symmetry of the direct sum of Cuntz algebras viewing them as a graph $C^*$-algebra in the category as menti…

This https://arxiv.org/abs/2305.06997 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
We study metric teleparallel geometries, which can either be defined through a Lorentzian metric and flat, metric-compatible affine connection, or a tetrad and a flat spin connection, which are invariant under the transitive action of a four-dimensional Lie group on their spatial equal-time hypersurfaces. There are three such group actions, and their corresponding spatial hypersurfaces belong to the Bianchi types II, III and IX, respectively. For each of these three symmetry groups, we determin…

Observation of intra-unit-cell superconductivity modulation
Tianheng Wei, Yanzhao Liu, Wei Ren, Ziqiang Wang, Jian Wang
https://arxiv.org/abs/2404.16683 ht…

Observation of intra-unit-cell superconductivity modulation
In unconventional high-temperature (high-Tc) superconductors, the symmetry-breaking electronic orders intertwined with the superconductivity provide important clues for understanding the nature of the unconventional pairing mechanism. Recently, an exotic superconducting order showing spatially periodic order parameter modulations and translational symmetry breaking, namely the pair density wave (PDW) state, has attracted broad attention. Without breaking translational symmetry, point group symm…

This https://arxiv.org/abs/2401.15100 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Symmetry and classification of solutions to an integral equation in the Heisenberg group $\mathbb{H}^n$
In this paper we prove symmetry of nonnegative solutions of the integral equation \[ u (ζ) = \int\limits_{{\mathbb H}^n} |ζ^{-1} ξ|^{-(Q-α)} u(ξ)^{p} dξ\quad 1< p \leq \frac{Q+α}{Q-α},\quad 0< α

Symmetry-breaking-induced giant Stark effect in 2D Janus materials
Jiang-Yu Lu, Wu-Yu Chen, Lei Li, Tao Huang, Hui Wan, Zi-Xuan Yang, Gui-Fang Huang, Wangyu Hu, Wei-Qing Huang
https://arxiv.org/abs/2402.12795

Symmetry-breaking-induced giant Stark effect in 2D Janus materials
Symmetry breaking generally induce exotic physical properties, particularly for low-dimensional materials. Herein we demonstrate that symmetry breaking induces a giant Stark effect in 2D Janus materials using group IV-V monolayers with a four-atom-layer structure as a model system, which are constructed by Ge and As element substitution of symmetrical SnSb monolayer. A linear giant Stark effect is found in Janus semiconductor monolayers, as verified by the band gap variation up to 134 meV of Sn…

This https://arxiv.org/abs/2310.18269 has been replaced.
initial toot: https://mastoxiv.page/@a…

Nodal phases in non-Hermitian wallpaper crystals
Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries such as parity-time ($\mathcal{PT}$) symmetry have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison. Here, we investigate the impact of the 17 wallpaper space groups of two-dimensional crystals on non-Hermitian band structures. We show that the non-trivial space group representations enforce degeneracies at high symmetry points and dictate their dispersion a…

Global optimality under amenable symmetry constraints
Peter Orbanz
https://arxiv.org/abs/2402.07613 https://arxiv.org/pdf/2402.07613<…

Global optimality under amenable symmetry constraints
We ask whether there exists a function or measure that (1) minimizes a given convex functional or risk and (2) satisfies a symmetry property specified by an amenable group of transformations. Examples of such symmetry properties are invariance, equivariance, or quasi-invariance. Our results draw on old ideas of Stein and Le Cam and on approximate group averages that appear in ergodic theorems for amenable groups. A class of convex sets known as orbitopes in convex analysis emerges as crucial, a…

This https://arxiv.org/abs/2211.07785 has been replaced.
link: https://scholar.google.com/scholar?q=a

Predicting Neutrino Mixing Angles Using Group Presentations
By assuming there exist three massive non-degenerate Majorana neutrinos, it is possible to describe neutrino mixing with a residual, unbroken discrete Klein subgroup of a larger spontaneously broken flavor symmetry group. Motivated by forthcoming measurements of leptonic CP violation, we revisit this framework by applying group presentation rules to it. We develop a method that is able to reproduce all previous results in the literature and may also hint at a possible group theoretical origin o…

This https://arxiv.org/abs/2305.18484 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Neural Fourier Transform: A General Approach to Equivariant Representation Learning
Symmetry learning has proven to be an effective approach for extracting the hidden structure of data, with the concept of equivariance relation playing the central role. However, most of the current studies are built on architectural theory and corresponding assumptions on the form of data. We propose Neural Fourier Transform (NFT), a general framework of learning the latent linear action of the group without assuming explicit knowledge of how the group acts on data. We present the theoretical …

This https://arxiv.org/abs/2401.09187 has been replaced.
initial toot: https://mastoxiv.page/@a…

Temperature dependence of relativistic valence band splitting induced by an altermagnetic phase transition
Altermagnetic (AM) materials exhibit non-relativistic, momentum-dependent spin-split states, ushering in new opportunities for spin electronic devices. While the characteristics of spin-splitting have been documented within the framework of the non-relativistic spin group symmetry, there has been limited exploration of the inclusion of relativistic symmetry and its impact on the emergence of a novel spin-splitting in the band structure. This study delves into the intricate relativistic electron…

This https://arxiv.org/abs/2211.01987 has been replaced.
link: https://scholar.google.com/scholar?q=a

Exact calculation of quantizer constants for arbitrary lattices
We present an algorithm for the exact computer-aided construction of the Voronoi cells of lattices with known symmetry group. Our algorithm scales better than linearly with the total number of faces and is applicable to dimensions beyond 12, which previous methods could not achieve. The new algorithm is applied to the Coxeter-Todd lattice $K_{12}$ as well as to a family of lattices obtained from laminating $K_{12}$. By optimizing this family, we obtain a new best 13-dimensional lattice quantize…

This https://arxiv.org/abs/2306.13635 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Factoring determinants and applications to number theory
Products of shifted characteristic polynomials, and ratios of such products, averaged over the classical compact groups are of great interest to number theorists as they model similar averages of L-functions in families with the same symmetry type as the compact group. We use Toeplitz and Toeplitz plus Hankel operators and the identities of Borodin - Okounkov, Case - Geronimo, and Basor - Erhardt to prove that, in certain cases, these unitary averages factor as polynomials in the matrix size in…

SO(n) AKLT Chains as Symmetry Protected Topological Quantum Ground States
Michael Ragone
https://arxiv.org/abs/2403.09951 https://arx…

SO(n) AKLT Chains as Symmetry Protected Topological Quantum Ground States
This thesis studies a pair of symmetry protected topological (SPT) phases which arise when considering one-dimensional quantum spin systems possessing a natural orthogonal group symmetry. Particular attention is given to a family of exactly solvable models whose ground states admit a matrix product state description and generalize the AKLT chain. We call these models ``$SO(n)$ AKLT chains'' and the phase they occupy the ``$SO(n)$ Haldane phase''. We present new results describing their ground s…

Classification of connected \'etale algebras in multiplicity-free modular fusion categories up to rank nine
Ken Kikuchi
https://arxiv.org/abs/2404.16125

Classification of connected étale algebras in multiplicity-free modular fusion categories up to rank nine
We classify connected étale algebras $A$'s in multiplicity-free modular fusion categories $\mathcal B$'s with $\text{rank}(\mathcal B)\le9$. We also identify categories $\mathcal B_A$'s of right $A$-modules. The results have physical applications in constraining renormalization group flows. As demonstration, we study massive renormalization group flows from non-unitary minimal models to predict ground state degeneracies and prove spontaneous $\mathcal B$-symmetry breaking.

This https://arxiv.org/abs/2402.19458 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Higher-group global symmetry and the bosonic M5 brane
Higher-group symmetries are combinations of higher-form symmetries which appear in various field theories. In this paper, we explain how higher-group symmetries arise in 10d and 11d supergravities when the latter are coupled to brane sources. Motivated by this observation, we study field theories at zero and finite temperature invariant under a class of continuous Abelian higher-group symmetries. We restrict the analysis to the low-energy regime where the dynamical field content exclusively con…

This https://arxiv.org/abs/2402.06241 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Quantum Automorphism Group of Direct Sum of Cuntz Algebras
In 1998, Wang constructed an ergodic action of the compact quantum group $U_n^+$ (free unitary quantum group) on the Cuntz algebra $\mathcal{O}_n$. Later, in 2018-2019, S. Joardar and A. Mandal showed that the quantum automorphism group of the Cuntz algebra $\mathcal{O}_{n}$ (as a graph $C^*$-algebra) is $U_n^+$ in the category introduced by them. In this article, we explore the quantum symmetry of the direct sum of Cuntz algebras viewing them as a graph $C^*$-algebra in the category as menti…

This https://arxiv.org/abs/2312.02744 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

p-Adic Quantum Mechanics, the Dirac Equation, and the violation of Einstein causality
This article studies the breaking of the Lorentz symmetry at the Planck length in quantum mechanics. We use three-dimensional p-adic vectors as position variables, while the time remains a real number. In this setting, the Planck length is 1/p, where p is a prime number, and the Lorentz symmetry is naturally broken. The p-adic the Planck length is independent of the speed of light and is determined by the group of symmetries of the space. In the Dirac and von Neumann formalism framework for qua…

This https://arxiv.org/abs/2401.09187 has been replaced.
initial toot: https://mastoxiv.page/@a…

Temperature dependence of relativistic valence band splitting induced by an altermagnetic phase transition
Altermagnetic (AM) materials exhibit non-relativistic, momentum-dependent spin-split states, ushering in new opportunities for spin electronic devices. While the characteristics of spin-splitting have been documented within the framework of the non-relativistic spin group symmetry, there has been limited exploration of the inclusion of relativistic symmetry and its impact on the emergence of a novel spin-splitting in the band structure. This study delves into the intricate relativistic electron…

Superfluid--Bose-glass transition of disordered bosons with long-range hopping in one dimension
Nicolas Dupuis
https://arxiv.org/abs/2404.16959 https://

Superfluid--Bose-glass transition of disordered bosons with long-range hopping in one dimension
We study the superfluid--Bose-glass transition in a one-dimensional lattice boson model with power-law decaying hopping amplitude $t_{i-j}\sim 1/|i-j|^α$, using bosonization and the nonperturbative functional renormalization group (FRG). When $α$ is smaller than a critical value $α_c<3$, the U(1) symmetry is spontaneously broken, which leads to a density mode with nonlinear dispersion and dynamical exponent $z=(α-1)/2$; the superfluid phase is then stable for sufficiently weak dis…

Universal Displacements in Anisotropic Linear Cauchy Elasticity
Arash Yavari, Dimitris Sfyris
https://arxiv.org/abs/2404.10529 https://

Universal Displacements in Anisotropic Linear Cauchy Elasticity
Universal displacements are those displacements that can be maintained for any member of a specific class of linear elastic materials in the absence of body forces, solely by applying boundary tractions. For linear hyperelastic (Green elastic) solids, it is known that the space of universal displacements explicitly depends on the symmetry group of the material, and moreover, the larger the symmetry group the larger the set of universal displacements. Linear Cauchy elastic solids, which include …

Hypersurface data: General properties and Birkhoff theorem in spherical symmetry
Marc Mars
https://arxiv.org/abs/2402.07482 https://a…

Hypersurface data: General properties and Birkhoff theorem in spherical symmetry
The notions of (metric) hypersurface data were introduced in [Mars,2013] as a tool to analyze, from an abstract viewpoint, hypersurfaces of arbitrary signature in pseudo-riemannian manifolds. In this paper, general geometric properties of these notions are studied. In particular, the properties of the gauge group inherent to the geometric construction are analyzed and the metric hypersurface connection and its corresponding curvature tensor are studied. The results set up the stage for various …

Chern-Simons gravity and PT Symmetry
Nick E. Mavromatos, Sarben Sarkar
https://arxiv.org/abs/2402.14513 https://arxiv.org/pdf/2402.14…

Chern-Simons gravity and PT Symmetry
This paper considers a string inspired effective axion anomalously coupled to Abelian gauge fields and gravity. By considering the renormalisation group flows in the flat space limit it is observed that a Hermitian parity symmetric phase of the theory can flow into a non-Hermitian parity-time symmetric phase. This behavior has implications for Chern-Simons gravity. The repulsive nature of gravity, usually attributed to the existence of a positive cosmological constant, is reinterpreted at large…

Global optimality under amenable symmetry constraints
Peter Orbanz
https://arxiv.org/abs/2402.07613 https://arxiv.org/pdf/2402.07613<…

Global optimality under amenable symmetry constraints
We ask whether there exists a function or measure that (1) minimizes a given convex functional or risk and (2) satisfies a symmetry property specified by an amenable group of transformations. Examples of such symmetry properties are invariance, equivariance, or quasi-invariance. Our results draw on old ideas of Stein and Le Cam and on approximate group averages that appear in ergodic theorems for amenable groups. A class of convex sets known as orbitopes in convex analysis emerges as crucial, a…

This https://arxiv.org/abs/1905.00215 has been replaced.
link: https://scholar.google.com/scholar?q=a

Super Bound States in the Continuum on Photonic Flatbands: Concept, Experimental Realization, and Optical Trapping Demonstration
In this work, we theoretically propose and experimentally demonstrate the formation of a super bound state in a continuum (BIC) on a photonic crystal flat band. This unique state simultaneously exhibits an enhanced quality factor and near-zero group velocity across an extended region of the Brillouin zone. It is achieved at the topological transition when a symmetry-protected BIC pinned at $k=0$ merges with two Friedrich-Wintgen quasi-BICs, which arise from destructive interference between loss…

This https://arxiv.org/abs/2302.07471 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A characterization of the alpha-connections on the statistical manifold of multivariate normal distributions
We study a statistical manifold $(\mathcal{N}, g^F, \nabla^{A}, \nabla^{A*})$ of multivariate normal distributions, where $g^F$ is the Fisher metric and $\nabla^{A}$ is the Amari-Chentsov connection and $\nabla^{A*}$ is its conjugate connection. We will show that it admits a solvable Lie group structure and moreover the Amari-Chentsov connection $\nabla^{A}$ on $(\mathcal{N}, g^F)$ will be characterized by the conjugate symmetry, i.e., a curvatures identity $R=R^*$ of a connection $\nabla$ and …

Some cusp-transitive hyperbolic 4-manifolds
Edoardo Rizzi
https://arxiv.org/abs/2402.13209 https://arxiv.org/pdf/2402.13209

Some cusp-transitive hyperbolic 4-manifolds
We realize 4 of the 6 closed orientable flat 3-manifolds as a cusp section of an orientable finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of cusps.

This https://arxiv.org/abs/2403.09520 has been replaced.
initial toot: https://mastoxiv.page/@a…

Topological responses from gapped Weyl points in 2D altermagnets
We study the symmetry requirements for topologically protected spin-polarized Weyl points in 2D altermagnets. The topology is characterized by a quantized $π$-Berry phase and the degeneracy is protected by spin-space group symmetries. Gapped phases with finite Chern and/or spin/chirality Chern numbers emerge under different symmetry-breaking mass terms. We investigate the surface and transport properties of these gapped phases using representative electronic tight-binding and magnonic linear s…

This https://arxiv.org/abs/2403.00852 has been replaced.
link: https://scholar.google.com/scholar?q=a

Reclaiming the Lost Conformality in a non-Hermitian Quantum 5-state Potts Model
Conformal symmetry, emerging at critical points, can be lost when renormalization group fixed points collide. Recently, it was proposed that after collisions, real fixed points transition into the complex plane, becoming complex fixed points described by complex conformal field theories (CFTs). Although this idea is compelling, directly demonstrating such complex conformal fixed points in microscopic models remains highly demanding. Furthermore, these concrete models are instrumental in unravel…

Particle-Soliton Degeneracies from Spontaneously Broken Non-Invertible Symmetry
Clay Cordova, Diego Garc\'ia-Sep\'ulveda, Nicholas Holfester
https://arxiv.org/abs/2403.08883

Particle-Soliton Degeneracies from Spontaneously Broken Non-Invertible Symmetry
We study non-invertible topological symmetry operators in massive quantum field theories in (1+1) dimensions. In phases where this symmetry is spontaneously broken we show that the particle spectrum often has degeneracies dictated by the non-invertible symmetry and we deduce a procedure to determine the allowed multiplets. These degeneracies are robust predictions and do not require integrability or other special features of renormalization group flows. We exhibit these conclusions in examples …

Galilean symmetry of the KdV hierarchy
Jianghao Xu, Di Yang
https://arxiv.org/abs/2403.04631 https://arxiv.org/pdf/2403.04631<…

Galilean symmetry of the KdV hierarchy
By solving the infinitesimal Galilean symmetry for the KdV hierarchy, we obtain an explicit expression for the corresponding one-parameter Lie group, which we call the Galilean symmetry of the KdV hierarchy. As an application, we establish an explicit relationship between the non-abelian Born--Infeld partition function and the generalized Brézin--Gross--Witten partition function.

This https://arxiv.org/abs/2307.05165 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hep…

$ϕ^4$ lattice model with cubic symmetry in three dimensions: RG-flow and first order phase transitions
We study the $3$-component $ϕ^4$ model on the simple cubic lattice in presence of a cubic perturbation. To this end, we perform Monte Carlo simulations in conjunction with a finite size scaling analysis of the data. The analysis of the renormalization group (RG)-flow of a dimensionless quantity provides us with the accurate estimate $Y_4 - ω_2 =0.00081(7)$ for the difference of the RG-eigenvalue $Y_4$ at the $O(3)$-symmetric fixed point and the correction exponent $ω_2$ at the cubic fixed po…

This https://arxiv.org/abs/2302.01655 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Conjugacy classes of derangements in finite groups of Lie type
Let $G$ be a finite almost simple group of Lie type acting faithfully and primitively on a set $Ω$. We prove an analogue of the Boston--Shalev conjecture for conjugacy classes: the proportion of conjugacy classes of $G$ consisting of derangements is bounded away from zero. This answers a question of Guralnick and Zalesski. The proof is based on results on the anatomy of palindromic polynomials over finite fields (with either reflective symmetry or conjugate-reflective symmetry).

This https://arxiv.org/abs/2110.13345 has been replaced.
link: https://scholar.google.com/scholar?q=a

Positive curvature and discrete abelian symmetry
By replacing the torus with an elementary abelian two-group, we generalize the maximal symmetry result of Grove and Searle and the half-maximal symmetry result of Wilking for positively curved manifolds with an isometric torus action.

Some cusp-transitive hyperbolic 4-manifolds
Edoardo Rizzi
https://arxiv.org/abs/2402.13209 https://arxiv.org/pdf/2402.13209

Some cusp-transitive hyperbolic 4-manifolds
We realize 4 of the 6 closed orientable flat 3-manifolds as a cusp section of an orientable finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of cusps.

This https://arxiv.org/abs/2311.05674 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Higher-group symmetry of (3+1)D fermionic $\mathbb{Z}_2$ gauge theory: logical CCZ, CS, and T gates from higher symmetry
It has recently been understood that the complete global symmetry of finite group topological gauge theories contains the structure of a higher-group. Here we study the higher-group structure in (3+1)D $\mathbb{Z}_2$ gauge theory with an emergent fermion, and point out that pumping chiral $p+ip$ topological states gives rise to a $\mathbb{Z}_{8}$ 0-form symmetry with mixed gravitational anomaly. This ordinary symmetry mixes with the other higher symmetries to form a 3-group structure, which we …

A Quantum Field Theory for the interaction of pions and rhos
Preshin Moodley
https://arxiv.org/abs/2403.18095 https://arxiv.org/pdf/2…

A Quantum Field Theory for the interaction of pions and rhos
We extend the Kroll-Lee-Zumino model in its particle content to include the charged rho vector mesons and the neutral pion meson. This entailed using the larger SU(2) gauge group. The masses for the vector mesons were generated via spontaneous symmetry breaking using the Higgs mechanism. The Lagrangian was then quantized and gauge fixed using the generalized class of $R_ξ$ gauges. Tree scattering lengths were calculated for pion-pion scattering and the values for the $a^0_0$ and $a^2_0$ scatte…

This https://arxiv.org/abs/2309.03871 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Horizon phase spaces in general relativity
We derive a prescription for the phase space of general relativity on two intersecting null surfaces. The boundary symmetry group is the semidirect product of the group of arbitrary diffeomorphisms of each null boundary which coincide at the corner, with a group of reparameterizations of the null generators. The phase space can be extended by acting with half-sided boosts that generate Weyl shocks along the initial data surfaces, and it then includes the relative boost angle between the null su…

Categorical-Symmetry Resolved Entanglement in CFT
P. Saura-Bastida, A. Das, G. Sierra, J. Molina-Vilaplana
https://arxiv.org/abs/2402.06322 https://…

Categorical-Symmetry Resolved Entanglement in CFT
We propose a symmetry-resolved entanglement for categorical non-invertible generalized symmetries (CaT-SREE) in (1+1)-dimensional CFTs. The definition parallels that of group-like invertible symmetries employing the concept of symmetric boundary states with respect to a categorical symmetry. Our examination extends to rational CFTs, where the behavior of CaT-SREE mirrors that of group-like invertible symmetries. This includes instances of the breakdown of entanglement equipartition at the next-…

Galilean symmetry of the KdV hierarchy
Jianghao Xu, Di Yang
https://arxiv.org/abs/2403.04631 https://arxiv.org/pdf/2403.04631<…

Galilean symmetry of the KdV hierarchy
By solving the infinitesimal Galilean symmetry for the KdV hierarchy, we obtain an explicit expression for the corresponding one-parameter Lie group, which we call the Galilean symmetry of the KdV hierarchy. As an application, we establish an explicit relationship between the non-abelian Born--Infeld partition function and the generalized Brézin--Gross--Witten partition function.

Existence of Mexican-hat dispersion and symmetry group of a layer
Vladimir Damljanovic
https://arxiv.org/abs/2404.06494 https://arxiv…

Existence of Mexican-hat dispersion and symmetry group of a layer
Increased interest in physics of graphene and other two-dimensional materials boosted investigations of band structure near nodal points and lines. In contrast, group theoretical explanation of simple bands (that do not touch other bands), is sporadically present in the literature. This paper presents electronic dispersions up to forth order in momentum, near Brillouin zone (BZ) high symmetry points of all eighty layer groups. The method applies to non magnetic materials both with or without sp…

Functional renormalization group for p=2 like glassy matrices in the planar approximation: III. Equilibrium dynamics and beyond
Vincent Lahoche, Dine Ousmane Samary
https://arxiv.org/abs/2404.11915

Functional renormalization group for p=2 like glassy matrices in the planar approximation: III. Equilibrium dynamics and beyond
This paper is the last of the series investigating renormalization group aspects of stochastic random matrices, including a Wigner-like disorder. We consider the equilibrium dynamics formalism that can be merged with the Ward identities arising from the large N effective kinetics. We construct a regulator that does not break time-reversal symmetry and show that the resulting flow equations reduce to the equilibrium flow built in our previous works. Finally, we investigate the flow equations bey…

Universal predictions of Siegel modular invariant theories near the fixed points
Gui-Jun Ding, Ferruccio Feruglio, Xiang-Gan Liu
https://arxiv.org/abs/2402.14915

Universal predictions of Siegel modular invariant theories near the fixed points
We analyze a general class of locally supersymmetric, CP and modular invariant models of lepton masses depending on two complex moduli taking values in the vicinity of a fixed point, where the theory enjoys a residual symmetry under a finite group. Like in models that depend on a single modulus, we find that all physical quantities exhibit a universal scaling with the distance from the fixed point. There is no dependence on the level of the construction, the weights of matter multiplets and the…

This https://arxiv.org/abs/2312.11910 has been replaced.
initial toot: https://mastoxiv.page/@…

The Quantum Echo in Two-Component Bose-Einstein Condensates
The development of ultracold atom technology has enabled the precise investigations on quantum dynamics of quantum gases. Recently, inspired by experimental advancement, the $SU(1,1)$ echo, akin to the well-known $SU(2)$ spin echo, has been proposed for single-component Bose-Einstein condensate (BEC). In this paper, we investigate the possibility of quantum echo in the more intricate two-component BEC by fully exploiting its underlying symmetry, which is the Lie group $Sp(4,R)$. We demonstrate …

Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
K. B. Yogendra, Suman Karmakar, Tanmoy Das
https://arxiv.org/abs/2403.15090

Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
Classical magnets offer glimpses of quantum-like features like spin liquids and fractionalization, promising an analogous construction of superposition and projective symmetry in classical field theory. While models based on system-specific spin-ice or soft-spin rules exist, a formal theory for general classical magnets remains elusive. Here, we introduce a mutatis mutandis symmetry group construction built from a vector field in a plaquette of classical spins, demonstrating how classical spins…

Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms
Bas Janssens, Milan Niestijl
https://arxiv.org/abs/2404.06110

Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms
Motivated by asymptotic symmetry groups in general relativity, we consider projective unitary representations $(\overlineρ, \mathcal{H})$ of the Lie group $\mathrm{Diff}_c(M)$ of compactly supported diffeomorphisms of a smooth manifold $M$ that satisfy a so-called generalized positive energy condition. In particular, this captures representations that are in a suitable sense compatible with a KMS state on the von Neumann algebra generated by $\overlineρ$. We show that if $M$ is connected and …

This https://arxiv.org/abs/2311.00093 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Anomaly Enforced Gaplessness for Background Flux Anomalies and Symmetry Fractionalization
Anomalous symmetries are known to strongly constrain the possible IR behavior along any renormalization group (RG) flow. Recently, the extension of the notion of symmetry in QFT has provided new types of anomalies with a corresponding new class of constraints on RG flows. In this paper, we derive the constraints imposed on RG flows from anomalies that can only be activated in the presence of specific background fluxes even though they do not necessarily correspond to a symmetry. We show that su…

This https://arxiv.org/abs/2312.13353 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Classification of connected étale algebras in modular fusion categories up to rank five
We classify connected étale algebras in (possibly non-unitary) modular fusion categories $\mathcal B$'s with $\text{rank}(\mathcal B)\le5$. We also comment on Lagrangian algebra, anyon condensation, and physical applications. Concretely, we prove certain spontaneous $\mathcal B$-symmetry breaking and predict ground state degeneracies in massive renormalization group flows from non-unitary minimal models.

This https://arxiv.org/abs/2311.00093 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Anomaly Enforced Gaplessness for Background Flux Anomalies and Symmetry Fractionalization
Anomalous symmetries are known to strongly constrain the possible IR behavior along any renormalization group (RG) flow. Recently, the extension of the notion of symmetry in QFT has provided new types of anomalies with a corresponding new class of constraints on RG flows. In this paper, we derive the constraints imposed on RG flows from anomalies that can only be activated in the presence of specific background fluxes even though they do not necessarily correspond to a symmetry. We show that su…

This https://arxiv.org/abs/2311.10136 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Quark and lepton modular models from the binary dihedral flavor symmetry
Inspired by the structure of top-down derived models endowed with modular flavor symmetries, we investigate the yet phenomenologically unexplored binary dihedral group 2D_3. After building the vector-valued modular forms in the representations of 2D_3 with small modular weights, we systematically classify all (Dirac and Majorana) mass textures of fermions with fractional modular weights and all possible 2+1-family structures. This allows us to explore the parameter space of fermion models based…

Non-relativistic spin splitting in compensated magnets that are not altermagnets
Lin-Ding Yuan, Alexandru B. Georgescu, James M. Rondinelli
https://arxiv.org/abs/2402.14321

Non-relativistic spin splitting in compensated magnets that are not altermagnets
The non-relativistic spin-splitting (NRSS) of electronic bands in "altermagnets" has sparked renewed interest in antiferromagnets (AFMs) that have no net magnetization. However, altermagnets with collinear and compensated magnetism are not the only type of NRSS AFMs. In this study, we identify the symmetry conditions and characteristic signatures of a distinct group of NRSS AFMs that go beyond the description of altermagnets. These compounds exhibit a broken spin-degeneracy among the spin-polar…

This https://arxiv.org/abs/2312.13353 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Classification of connected étale algebras in modular fusion categories up to rank five
We classify connected étale algebras in (possibly non-unitary) modular fusion categories $\mathcal B$'s with $\text{rank}(\mathcal B)\le5$. We also comment on Lagrangian algebra, anyon condensation, and physical applications. Concretely, we prove certain spontaneous $\mathcal B$-symmetry breaking and predict ground state degeneracies in massive renormalization group flows from non-unitary minimal models.

Symmetries for the 4HDM. II. Extensions by rephasing groups
Jiazhen Shao, Igor P. Ivanov, Mikko Korhonen
https://arxiv.org/abs/2404.10349 https://

Symmetries for the 4HDM. II. Extensions by rephasing groups
We continue classification of finite groups which can be used as symmetry group of the scalar sector of the four-Higgs-doublet model (4HDM). We systematically construct non-abelian groups via the group extension procedure, starting from the known abelian groups $A$ and their automorphism groups $\mbox{Aut}(A)$. Previously, we considered all cyclic groups $A$ available for the 4HDM scalar sector. Here, we further develop the method and apply it to extensions by the remaining rephasing groups $A$…

This https://arxiv.org/abs/2211.11764 has been replaced.
link: https://scholar.google.com/scholar?q=a

Higher-group symmetry in finite gauge theory and stabilizer codes
A large class of gapped phases of matter can be described by topological finite group gauge theories. In this paper we show how such gauge theories possess a higher-group global symmetry, which we study in detail. We derive the $d$-group global symmetry and its 't Hooft anomaly for topological finite group gauge theories in $(d+1)$ space-time dimensions, including non-Abelian gauge groups and Dijkgraaf-Witten twists. We focus on the 1-form symmetry generated by invertible (Abelian) magnetic def…

This https://arxiv.org/abs/1808.01590 has been replaced.
link: https://scholar.google.com/scholar?q=a

$\texttt{Spglib}$: a software library for crystal symmetry search
A computer algorithm to search symmetries of crystal structures as implemented in the \texttt{spglib} code is described. An iterative algorithm is employed to robustly identify space group types tolerating a certain amount of distortion in the crystal structures. The source code is distributed under the 3-Clause BSD License, a permissive open-source software license. This paper focuses on the algorithm for identifying the space group symmetry of the crystal structures.

This https://arxiv.org/abs/2312.13384 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Weyl quadratic gravity as a gauge theory and non-metricity vs torsion duality
We review (non-supersymmetric) gauge theories of four-dimensional space-time symmetries and their quadratic action. The only true gauge theory of such a symmetry (with a physical gauge boson) that has an exact geometric interpretation, generates Einstein gravity in its spontaneously broken phase and is anomaly-free, is that of Weyl gauge symmetry (of dilatations). Gauging the full conformal group does not generate a true gauge theory of physical (dynamical) associated gauge bosons. Regarding th…

This https://arxiv.org/abs/2312.15061 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

$β$ symmetry in type II Supergravities
A non geometric sector of the duality group emerging in Kaluza-Klein reductions is realized as an effective symmetry in the low energy action of uncompactified type II theories. This is achieved by extending the so called $β$ symmetry of the universal NS-NS sector to the R-R sector of type IIA, IIB and massive type IIA.

This https://arxiv.org/abs/2212.12000 has been replaced.
link: https://scholar.google.com/scholar?q=a

Phenomenology of extended multiHiggs doublet models with $S_4$ family symmetry
We propose extended 3HDM and 4HDM models where the SM gauge symmetry is enlarged by the spontaneously broken $S_4$ group, the preserved $Z_2$ and broken $Z_4$ cyclic symmetries. Each model has three active $SU(2)$ scalar doublets, in addition, the first one has an extra inert scalar singlet, whereas the second model has an inert scalar doublet. Furthermore, each model has several extra gauge singlet scalars, which are triplets under $S_4$. Both models yield the same structure of the mass matric…

This https://arxiv.org/abs/2403.08883 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Particle-Soliton Degeneracies from Spontaneously Broken Non-Invertible Symmetry
We study non-invertible topological symmetry operators in massive quantum field theories in (1+1) dimensions. In phases where this symmetry is spontaneously broken we show that the particle spectrum often has degeneracies dictated by the non-invertible symmetry and we deduce a procedure to determine the allowed multiplets. These degeneracies are robust predictions and do not require integrability or other special features of renormalization group flows. We exhibit these conclusions in examples …

This https://arxiv.org/abs/2210.16177 has been replaced.
link: https://scholar.google.com/scholar?q=a

Are Leptons as elementary as Quarks?
Nucleons and electrons were once considered elementary particles, a role nowadays taken by quarks and leptons. Here, mainly at the group theoretical level, we examine the unorthodox idea that nucleons and electrons share the same level of compositeness after all. We do it by first trading color $SU(3)_C$ for color/leptocolor $SU(3)_C\times SU(3)_{\ell C}$ confining gauge symmetry. Standard model leptons, equipped with inherited Yukawa couplings, make then their appearance at the intermediate (g…

On discrete Routh reduction and structures on the reduced space
Mat\'ias I. Caruso, Javier Fern\'andez, Cora Tori, Marcela Zuccalli
https://arxiv.org/abs/2403.05305

On discrete Routh reduction and structures on the reduced space
In this paper we work, first, with forced discrete mechanical systems on the configuration space $Q$ and construct closed $2$-forms $ω^+$ and $ω^-$ on $Q \times Q$, that are symplectic if and only if the system is regular. For a special type of discrete force, we prove that $ω^+$ and $ω^-$ are invariant by the flow of the system. We also consider the Lagrangian reduction of a discrete mechanical system by a symmetry group (using an affine discrete connection derived from the discrete moment…

This https://arxiv.org/abs/2307.10369 has been replaced.
initial toot: https://mastoxiv.page/@a…

Enumeration and representation theory of spin space groups
Those fundamental physical properties, such as phase transitions, Weyl fermions, and spin excitation, in all magnetic ordered materials, were ultimately believed to rely on the symmetry theory of magnetic space groups. Recently, it has come to light that a more comprehensive group, known as the spin space group (SSG), which combines separate spin and spatial operations, is necessary to fully characterize the geometry and underlying properties of magnetic ordered materials. However, the basic th…

This https://arxiv.org/abs/2403.08883 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Particle-Soliton Degeneracies from Spontaneously Broken Non-Invertible Symmetry
We study non-invertible topological symmetry operators in massive quantum field theories in (1+1) dimensions. In phases where this symmetry is spontaneously broken we show that the particle spectrum often has degeneracies dictated by the non-invertible symmetry and we deduce a procedure to determine the allowed multiplets. These degeneracies are robust predictions and do not require integrability or other special features of renormalization group flows. We exhibit these conclusions in examples …

Magnetic structure and properties of the honeycomb antiferromagnet [Na(OH$_2$)$_3$]Mn(NCS)$_3$
Madeleine Geers, Thomas B. Gill, Andrew D. Burnett, Euan N. Bassey, Oscar Fabelo, Laura Ca\~nadillas-Delgado, Matthew J. Cliffe
https://arxiv.org/abs/2403.17642

Magnetic structure and properties of the honeycomb antiferromagnet [Na(OH$_2$)$_3$]Mn(NCS)$_3$
We report the magnetic structure and properties of a thiocyanate-based honeycomb magnet [Na(OH$_2$)$_3$]Mn(NCS)$_3$ which crystallises in the unusual low-symmetry trigonal space group $P\overline{3}$. Magnetic measurements on powder samples show this material is an antiferromagnet (ordering temperature ($T_\mathrm{N,mag} = 18.1(6)\,$)K) and can be described by nearest neighbour antiferromagnetic interactions $J=-11.07(4)\,$K. A method for growing neutron-diffraction sized single crystals (\text…

Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
Elias Furrer, Horia Magureanu
https://arxiv.org/abs/2404.02955 https://

Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
Symmetries of Seiberg-Witten (SW) geometries capture intricate physical aspects of the underlying 4d $\mathcal{N} = 2$ field theories. For rank-one theories, these geometries are rational elliptic surfaces whose automorphism group is a semi-direct product between the Coulomb branch (CB) symmetries and the Mordell-Weil group. We study quotients of the SW geometry by subgroups of its automorphism group, which most naturally become gaugings of discrete 0- and 1-form symmetries. Yet, new interpreta…

This https://arxiv.org/abs/2401.00848 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

$SU(2)_L$ deconstruction and flavour (non)-universality
We study two-site deconstructions of the $SU(2)_L$ gauge group factor of the SM. Models based on this approach can explain the hierarchies of the quark masses and CKM mixing between third and light families if these fields are localised on different sites by the presence of hierarchical new physics scales. The model leads to an accidental global $U(2)_q\times U(3)_u\times U(3)_d$ flavour symmetry which prevents dangerously large effects in flavour observables, making a TeV extension of the SM p…

Free boundary CMC annuli in spherical and hyperbolic balls
Alberto Cerezo, Isabel Fernandez, Pablo Mira
https://arxiv.org/abs/2403.04595 https://

Free boundary CMC annuli in spherical and hyperbolic balls
We construct, for any $H\in \mathbb{R}$, infinitely many free boundary annuli in geodesic balls of $\mathbb{S}^3$ with constant mean curvature $H$ and a discrete, non-rotational, symmetry group. Some of these free boundary CMC annuli are actually embedded if $H\geq 1/\sqrt{3}$. We also construct embedded, non-rotational, free boundary CMC annuli in geodesic balls of $\mathbb{H}^3$, for all values $H>1$ of the mean curvature $H$.

This https://arxiv.org/abs/2312.02086 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Ruling out models of vector dark matter in asymptotically safe quantum gravity
The nature of dark matter is a problem with too many potential solutions. We investigate whether a consistent embedding into quantum gravity can decimate the number of solutions to the dark-matter problem. Concretely, we focus on a hidden sector composed of a gauge field and a charged scalar, with gauge group U(1)$_{\textmd{D}}$ or SU(2)$_\textmd{D}$. The gauge field is the dark matter candidate, if the gauge symmetry is broken spontaneously. Phenomenological constraints on the couplings in thi…

This https://arxiv.org/abs/2304.00425 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Charge order induced Dirac pockets in the nonsymmorphic crystal TaTe$_4$
The interplay between charge order (CO) and nontrivial band topology has spurred tremendous interest in understanding topological excitations beyond the single-particle description. In a quasi-one-dimensional nonsymmorphic crystal TaTe$_4$, the (2a$\times$2b$\times$3c) charge ordered ground state drives the system into a space group where the symmetry indicator features the emergence of Dirac fermions and unconventional double Dirac fermions. Using angle-resolved photoemission spectroscopy and …

This https://arxiv.org/abs/2309.08959 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Non-centrosymmetric, transverse structural modulation in SrAl4, and elucidation of its origin in the BaAl4 family of compounds
At ambient conditions SrAl4 adopts the BaAl4 structure type with space group I4/mmm. It undergoes a charge-density-wave (CDW) transition at TCDW = 243 K, followed by a structural transition at TS = 87 K. Temperature-dependent single-crystal X-ray diffraction (SXRD) leads to the observation of incommensurate superlattice reflections at q = σc* with σ= 0.1116 at 200 K. The CDW has orthorhombic symmetry with the acentric superspace group F222(00sigma)00s, where F222 is a subgroup of Fmmm as well…

This https://arxiv.org/abs/2312.13346 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Phenomenology of a Deconstructed Electroweak Force
We study an effective theory of flavour in which the $SU(2)_L$ interaction is `flavour-deconstructed' near the TeV scale. This arises, for example, in UV models that unify all three generations of left-handed fermions via an $Sp(6)_L$ symmetry. Flavour-universality of the electroweak force emerges accidentally (but naturally) from breaking the $\prod_{i=1}^3 SU(2)_{L,i}$ gauge group to its diagonal subgroup, delivering hierarchical fermion masses and left-handed mixing angles in the process. Th…

Peierls Transition in Gross-Neveu Model from Bethe Ansatz
Valdemar Melin, Yuta Sekiguchi, Paul Wiegmann, Konstantin Zarembo
https://arxiv.org/abs/2404.07307

Peierls Transition in Gross-Neveu Model from Bethe Ansatz
The two-dimensional Gross-Neveu model is anticipated to undergo a crystalline phase transition at high baryon charge densities. This conclusion is drawn from the mean-field approximation, which closely resembles models of Peierls instability. We demonstrate that this transition indeed occurs when both the rank of the symmetry group and the dimension of the particle representation contributing to the baryon density are large (the large-N limit). We derive this result through the exact solution o…

Peierls Transition in Gross-Neveu Model from Bethe Ansatz
Valdemar Melin, Yuta Sekiguchi, Paul Wiegmann, Konstantin Zarembo
https://arxiv.org/abs/2404.07307

Peierls Transition in Gross-Neveu Model from Bethe Ansatz
The two-dimensional Gross-Neveu model is anticipated to undergo a crystalline phase transition at high baryon charge densities. This conclusion is drawn from the mean-field approximation, which closely resembles models of Peierls instability. We demonstrate that this transition indeed occurs when both the rank of the symmetry group and the dimension of the particle representation contributing to the baryon density are large (the large-N limit). We derive this result through the exact solution o…

Constraints on the $X17$ boson from IceCube searches for non-standard interactions of neutrinos
Rikard Enberg, Ya\c{s}ar Hi\c{c}y{\i}lmaz, Stefano Moretti, Carlos P\'erez de los Heros, Harri Waltari
https://arxiv.org/abs/2404.04717

Constraints on the $X17$ boson from IceCube searches for non-standard interactions of neutrinos
We explain the ATOMKI anomaly with a very light $Z'$ state that features non-anomalous and non-flavour-universal vector and axial-vector couplings to all leptons. This $Z'$ comes from a theoretical framework with a spontaneously broken $U(1)'$ symmetry in addition to the Standard Model (SM) gauge group and is compliant with current measurements of the anomalous magnetic moments of the electron and the muon as well as beam dump experiments. The lepton flavour structure of this model allows for $…

This https://arxiv.org/abs/2308.04497 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Fermion mass, Axion dark matter, and Leptogenesis in SO(10) GUT
SO(10) grand unified theory with minimum parameters in the Yukawa sector employs the Peccei-Quinn symmetry that solves the strong CP problem. Such an economical Yukawa sector is highly appealing and has been extensively studied in the literature. However, when the running of the renormalization group equations of the Yukawa couplings are considered, this scenario shows somewhat tension with the observed fermion masses and mixing. In this work, we propose an extension of the minimal framework th…