Gravity with torsion as deformed BF theoryWe study a family of (possibly non topological) deformations of BF theory for the Lie algebra obtained by quadratic extension of so(3,1) by an orthogonal module. The resulting theory,…Alberto S. Cattaneo, Leon Menger, Michele Schiavina·Oct 3, 2023SaveLearn
Unveiling Symmetries Patterns: A Study of Circular and Linear Harmonic Oscillator ChainsThe purpose of this article is the study of the symmetries in a circular and linear harmonic oscillator chains system, and consequently use them as a means to find the eigenvalues of these…Edoardo Spezzano, Alberto Iommi·Oct 2, 2023SaveLearn
Asymptotics of the whispering gallery-type in the eigenproblem for the Laplacian in a revolutional domain diffeomorphic to a solid torusWe consider the eigenproblem for the Laplacian inside a three-dimensional revolutional domain diffeomorphic to a solid torus and construct asymptotic eigenvalues and eigenfunctions (quasimodes) of…Sergey Sergeev, Dmitri Minenkov·Oct 1, 2023SaveLearn
Ground States of Fermionic Nonlinear Schr\"odinger Systems with Coulomb Potential I: The L2-Subcritical CaseWe consider ground states of the N coupled fermionic nonlinear Schr\"odinger systems with the Coulomb potential V(x) in the L2-subcritical case. By studying the associated constraint…Bin Chen, Yujin Guo·Oct 1, 2023SaveLearn
On particular integrability for (co)symplectic and (co)contact Hamiltonian systemsAs a generalization and extension of our previous paper [Escobar-Ruiz and Azuaje, J. Phys. A: Math. Theor. 57, 105202 (2024)], in this work, the notions of particular integral and particular…R. Azuaje, A. M. Escobar-Ruiz·Sep 29, 2023SaveLearn
Elastic bounds of the coupling tensor of anisotropic composite laminates: a polar approachIn the equivalent single layer theories of anisotropic laminates, the coupling tensor B describes the relation between the in- and out-of plane behavior of the plate. This tensor has some peculiar…P. Vannucci·Sep 29, 2023SaveLearn
Two-body Coulomb problem and hidden g(2) algebra: superintegrability and cubic polynomial algebraIt is shown that the two-body Coulomb problem in the Sturm representation leads to a new two-dimensional, exactly-solvable, superintegrable quantum system in curved space with a g(2) hidden…Alexander V. Turbiner, Adrian M. Escobar-Ruiz·Sep 28, 2023SaveLearn
Folding QQ-relations and transfer matrix eigenvalues: towards a unified approach to Bethe ansatz for super spin chainsExtending the method proposed in [arXiv:1109.5524], we derive QQ-relations (functional relations among Baxter Q-functions) and T-functions (eigenvalues of transfer matrices) for fusion vertex models…Zengo Tsuboi·Sep 28, 2023SaveLearn
Geometric phase for nonlinear oscillators from perturbative renormalization groupWe formulate a renormalization group approach to a general nonlinear oscillator problem. The approach is based on the exact group law obeyed by solutions of the corresponding ordinary differential…D. A. Khromov, M. S. Kryvoruchko, D. A. Pesin·Sep 28, 2023SaveLearn
Connection formulae for the radial Toda equations IThis paper is the first in a forthcoming series of works where the authors study the global asymptotic behavior of the radial solutions of the 2D periodic Toda equation of type An. The principal…Martin A. Guest, Alexander R. Its, Maksim Kosmakov et al.·Sep 28, 2023SaveLearn
A microlocal investigation of stochastic partial differential equations for spinors with an application to the Thirring modelOn a d-dimensional Riemannian, spin manifold (M,g) we consider non-linear, stochastic partial differential equations for spinor fields, driven by a Dirac operator and coupled to an additive…Alberto Bonicelli, Beatrice Costeri, Claudio Dappiaggi et al.·Sep 28, 2023SaveLearn
Lagrangian formalism and classical statistical ensembleWe present a formulation of classical statistical mechanics based on a Lagrangian description on the tangent bundle. In this approach, a Wick rotation from real time to imaginary time is employed as…Sikarin Yoo-Kong·Sep 28, 2023SaveLearn
Notes on the degenerate integrability of reduced systems obtained from the master systems of free motion on cotangent bundles of compact Lie groupsThe reduction of the `master system' of free motion on the cotangent bundle T*G of a compact, connected and simply connected, semisimple Lie group is considered using the conjugation action of…L. Feher·Sep 28, 2023SaveLearn
Long-time Anderson Localization for the Nonlinear quasi-periodic Schr\"odinger Equation on ZdUsing a Birkhoff normal form transform to impede mode transfer in a finite "barrier", we prove localization of arbitrary 2 data for polynomially long time for the nonlinear quasi-periodic…Hongzi Cong, Yunfeng Shi, W. -M. Wang·Sep 27, 2023SaveLearn
Models for irreducible representations of the symplectic algebra using Dirac-type operatorsIn this paper we will study both the finite and infinite-dimensional representations of the symplectic Lie algebra sp(2n) and develop a polynomial model for these representations. This…Guner Muarem·Sep 27, 2023SaveLearn
Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in space-time with simply transitive four-parameter groups of motionsMetric components of potentials of admissible electromagnetic fields in spaces with simply transitive four-parameter motion group are found. The components of frame vectors corresponding to the…V. V. Obukhov·Sep 26, 2023SaveLearn
Multifractality for intermediate quantum systemsWhile quantum multifractality has been widely studied in the physics literature and is by now well understood from the point of view of physics, there is little work on this subject in the…Henrik Ueberschaer·Sep 25, 2023SaveLearn
Dimers on Riemann surfaces and compactified free fieldWe consider the dimer model on a bipartite graph embedded into a locally flat Riemann surface with conical singularities and satisfying certain geometric conditions in the spirit of the work of…Mikhail Basok·Sep 25, 2023SaveLearn
A geometric formulation of Schaefer's theory of Cosserat solidsThe Cosserat solid is a theoretical model of a continuum whose elementary constituents are notional rigid bodies. Here we present a formulation of the mechanics of a Cosserat solid in the language of…Balázs Németh, Ronojoy Adhikari·Sep 25, 2023SaveLearn
Wigner measures of electromagnetic waves in heterogeneous bianisotropic mediaWe study the propagation of high-frequency electromagnetic waves in randomly heterogeneous bianisotropic media with dissipative properties. For that purpose we consider randomly fluctuating optical…Jean-Luc Akian, Éric Savin·Sep 25, 2023SaveLearn
Orthosymplectic superoscillator Lax matricesWe construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic R-matrix, generalizing orthogonal and symplectic oscillator type Lax…Rouven Frassek, Alexander Tsymbaliuk·Sep 25, 2023SaveLearn
Vortices and strings induced from a generalized Abelian Higgs modelIn this note we construct self--dual vortices and cosmic strings from the generalized Abelian Higgs theory. A special model of the theory is of focused interest in which the Higgs potential is a…Lei Cao, Shouxin Chen·Sep 25, 2023SaveLearn
New classes of quadratically integrable systems with velocity dependent potentials: non-subgroup type casesWe study quadratic integrability of systems with velocity dependent potentials in three-dimensional Euclidean space. Unlike in the case with only scalar potential, quadratic integrability with…Md Fazlul Hoque, Ondřej Kubů, Antonella Marchesiello et al.·Sep 22, 2023SaveLearn
Diophantine estimates on shifts of trigonometric polynomials on TdWe establish Diophantine type estimates on shifts of trigonometric polynomials on the torus Td, as well as that of their square roots. These estimates arise from the spectral analysis of…Yunfeng Shi, W. -M. Wang·Sep 22, 2023SaveLearn
Superintegrability and Deformed Oscillator Realizations of Quantum TTW Hamiltonians on Constant-Curvature Manifolds and with Reflections in a PlaneWe extend the method for constructing symmetry operators of higher order for two-dimensional quantum Hamiltonians by Kalnins, Kress and Miller (2010). This expansion method expresses the integral in…Ian Marquette, Anthony Parr·Sep 22, 2023SaveLearn