A Kac-Weyl Character IdentityAn explicit quantization of Chern-Simons theory leads to an identity between sums of the Kac-Weyl characters. One can use this identity to prove inequalities that constrain the fusion coefficients…Michael A. Baker, Dipesh Bhandari, Michael Crescimanno·Aug 17, 2024SaveLearn
Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximationWe deal with the n-dimensional nonlinear Schr\"odinger equation (NLSE) with a cubic nonlocal nonlinearity and an anti-Hermitian term, which is widely used model for the study of open quantum…Anton E. Kulagin, Alexander V. Shapovalov·Aug 16, 2024SaveLearn
Integrals of Products of Bessel Functions: An Insight from the Physics of Bloch ElectronsIntegrals of products of Bessel functions exhibit an intriguing feature: under certain conditions on the parameters specifying the integrand, they vanish identically. We provide a physical…Joshua Covey, Dmitrii L. Maslov·Aug 15, 2024SaveLearn
Fluctuations in the non-linear supersymmetric hyperbolic sigma model with long-range interactionsWe consider a class of non-linear supersymmetric hyperbolic sigma models with long-range interactions on boxes in Zd and on a hierarchical lattice. We prove that the random field…Margherita Disertori, Franz Merkl, Silke W. W. Rolles·Aug 15, 2024SaveLearn
Achronal Localization, Representations of the Causal Logic for massive systemsOn plain physical grounds localization of relativistic quantum particles is extended to the achronal regions of Minkowski spacetime. Achronal localization fulfills automatically the requirements of…Domenico P. L. Castrigiano·Aug 15, 2024SaveLearn
The bulk-edge correspondence for curved interfacesThe bulk-edge correspondence is a condensed matter theorem that relates the conductance of a Hall insulator in a half-plane to that of its (straight) boundary. In this work, we extend this result to…Alexis Drouot, Xiaowen Zhu·Aug 15, 2024SaveLearn
Symmetry groups of geodesic equations with applications in water wavesIn this work we derive several important equations in water waves and liquid crystals by deriving them as geodesic equations of right-invariant metrics on two infinite-dimensional groups. The…Bo Gervang, Erwin Luesink·Aug 14, 2024SaveLearn
The spectral torsion for the Connes type operatorThis paper aims to provide an explicit computation of the spectral torsion associated with the Connes type operator on even dimension compact manifolds.And we also extend the spectral torsion for the…Jian Wang, Yong Wang·Aug 13, 2024SaveLearn
Symmetry reduction and reconstruction in contact geometry and Lagrange-Poincar\'e-Herglotz equationsIn this paper, we investigate the reduction process of a contact Lagrangian system whose Lagrangian is invariant under a group of symmetries. We give explicit coordinate expressions of the resulting…Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon et al.·Aug 13, 2024SaveLearn
Fredholm Determinants from Schr\"odinger Type Equations, and Deformation of Tracy-Widom DistributionWe undertake an analysis of Fredholm determinants arising from kernels whose defining functions satisfy a Schr\"odinger type equation. When this defining function is the Airy one, the evaluation of…Taro Kimura, Xavier Navand·Aug 13, 2024SaveLearn
Mathematical Exploration of the Intersection Between Extended Schrodinger-Virasoro Lie Algebras and Symplectic Novikov Lie AlgebrasThis paper presents an in-depth mathematical investigation into the intersection of two advanced Lie algebraic structures: the extended Schr\"odinger-Virasoro Lie algebra (ESVLA) and the Symplectic…Soumadeep Maiti·Aug 12, 2024SaveLearn
Reformulation of continuum defects in terms of the general teleparallel geometry in the language of exterior algebraWe discuss the geometric formulation of continuum defects consisting of dislocations and disclinations. After reviewing the metric affine geometry and the present geometric formulation of dislocation…Muzaffer Adak, Tekin Dereli, Ertan Kok et al.·Aug 12, 2024SaveLearn
Circle Foliations Revisited: Periods of Flows whose Orbits are all ClosedOur purpose here is to adapt the results of Geodesic circle foliations for Reeb flows or Hamiltonian flows on contact manifolds. Consequently, all periods are exactly the same if the contact manifold…Yoshihisa Miyanishi·Aug 12, 2024SaveLearn
Elliptic Integrable Systems and Special FunctionsWe discuss elliptic quantum Calogero-Moser-Sutherland models, including their relativistic generalizations due to Ruijsenaars and van Diejen, and the relations of these models to classes of special…Martin Hallnäs, Edwin Langmann·Aug 11, 2024SaveLearn
Enumerative geometry via elliptic stable envelopeAssume X is a variety for which the elliptic stable envelope exists. In this note we construct natural q-difference equations from the elliptic stable envelope of X. In examples, these…Andrey Smirnov·Aug 10, 2024SaveLearn
Piecewise linear constitutive relations for stretch-limited elastic stringsThis study proposes a simple and novel class of stretch-limiting constitutive relations for perfectly flexible elastic strings drawing from modern advances in constitutive theory for elastic bodies.…Roger Bustamante, K. R. Rajagopal, Casey Rodriguez·Aug 9, 2024SaveLearn
Theory of metastable states in many-body quantum systemsWe present a mathematical theory of metastable pure states in closed many-body quantum systems with finite-dimensional Hilbert space. Given a Hamiltonian, a pure state is defined to be metastable…Chao Yin, Federica M. Surace, Andrew Lucas·Aug 9, 2024SaveLearn
Generalised Brillouin Zone for Non-Reciprocal SystemsRecently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this paper is to introduce…Habib Ammari, Silvio Barandun, Ping Liu et al.·Aug 9, 2024SaveLearn
Local Central Limit Theorem for unbounded long-range potentialsWe prove the equivalence between the integral central limit theorem and the local central limit theorem for two-body potentials with long-range interactions on the lattice Zd for $d…Eric O. Endo, Roberto Fernández, Vlad Margarint et al.·Aug 8, 2024SaveLearn
On the incompleteness of the classification of quadratically integrable Hamiltonian systems in the three-dimensional Euclidean spaceWe present an example of an integrable Hamiltonian system with scalar potential in the three-dimensional Euclidean space whose integrals of motion are quadratic polynomials in the momenta, yet its…Libor Snobl·Aug 8, 2024SaveLearn
Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum ChainsWe prove that in strongly disordered, interacting, quantum chains, the conductance of a chain of length L vanishes faster than 1/L. This means that transport is anomalous in such chains. This…Wojciech De Roeck, Lydia Giacomin, Francois Huveneers et al.·Aug 8, 2024SaveLearn
Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi modelsThe non-commutative harmonic oscillators (NcHO) and 2p-quantum Rabi models (2pQRM) are extensions of harmonic oscillators. The purpose of this paper is to give a relationship between NcHO and 2pQRM,…Fumio Hiroshima, Tomoyuki Shirai·Aug 8, 2024SaveLearn
Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebraA quantum integrable spin chain model associated with the G2 exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused transfer matrices are…Guang-Liang Li, Junpeng Cao, Pei Sun et al.·Aug 8, 2024SaveLearn
A Higher Spin-Statistics Theorem for Invertible Quantum Field TheoriesWe prove that every unitary invertible quantum field theory satisfies a generalization of the famous spin-statistics theorem. To formulate this extension, we define a `higher spin' action of the…Cameron Krulewski, Lukas Müller, Luuk Stehouwer·Aug 7, 2024SaveLearn
Fluctuation of coherences in noisy mesoscopic quantum systems with diffusive transportThe motivation for this thesis is to find a fluctuating hydrodynamic description of quantum coherent effects in mesoscopic quantum systems with diffusive transport properties. Coherent effects are…Ludwig Hruza·Aug 7, 2024SaveLearn