Mathematical Physics

Authors and titles for January 2025

[1] arXiv:2501.00148 [pdf, html, other]

Title: On the eigenvectors of the 5D discrete Fourier transform number operator in Newtonian basis

Natig Atakishiyev

Comments: 10 pages

Subjects: Mathematical Physics (math-ph)

[2] arXiv:2501.00271 [pdf, html, other]

Title: Generalized finite and affine $W$-algebras in type $A$

Dong Jun Choi, Alexander Molev, Uhi Rinn Suh

Comments: 29 pages

Subjects: Mathematical Physics (math-ph); Representation Theory (math.RT)

[3] arXiv:2501.00613 [pdf, html, other]

Title: Comment on: "Comment on "Nonperturbative calculation of Born-Infeld effects on the Schr\"odinger spectrum of the hydrogen atom"" by M. N. Smolyakov

H. K. Carley, M. K.-H. Kiessling

Comments: Reply to arXiv:2206.07611.v1

Subjects: Mathematical Physics (math-ph)

[4] arXiv:2501.00702 [pdf, html, other]

Title: Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems

Robert J. McCann

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Differential Geometry (math.DG); Metric Geometry (math.MG)

[5] arXiv:2501.00866 [pdf, html, other]

Title: Lieb--Thirring inequalities for large quantum systems with inverse nearest-neighbor interactions

G. K. Duong, Phan Thành Nam

Comments: 27 pages

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); Spectral Theory (math.SP)

[6] arXiv:2501.00947 [pdf, html, other]

Title: Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains

Bernard Helffer, Ayman Kachmar, Francois Nicoleau

Comments: 38 pages

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[7] arXiv:2501.01188 [pdf, html, other]

Title: Nearsightedness in Materials with Indirect Band Gap

Huajie Chen, Juerong Feng, Christoph Ortner, Jack Thomas

Subjects: Mathematical Physics (math-ph)

[8] arXiv:2501.01365 [pdf, other]

Title: Adiabatic Solutions of the Haydys-Witten Equations and Symplectic Khovanov Homology

Michael Bleher

Comments: This work is part of the author's PhD thesis at Heidelberg University. Comments welcome!

Subjects: Mathematical Physics (math-ph); Geometric Topology (math.GT)

[9] arXiv:2501.01381 [pdf, html, other]

Title: Commutator Estimates and Quantitative Local Weyl's Law for Sch\"odinger Operators with Non-Smooth Potentials

Esteban Cárdenas, Laurent Lafleche

Comments: 50 pages

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Spectral Theory (math.SP); Quantum Physics (quant-ph)

[10] arXiv:2501.01419 [pdf, html, other]

Title: Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general $q$-Painlev\'e III$_3$ tau functions

Pavlo Gavrylenko

Comments: 53 pages, 4 figures

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Dynamical Systems (math.DS); Exactly Solvable and Integrable Systems (nlin.SI)

[11] arXiv:2501.01574 [pdf, html, other]

Title: Nesting of double-dimer loops: local fluctuations and convergence to the nesting field of CLE(4)

Mikhail Basok, Konstantin Izyurov

Subjects: Mathematical Physics (math-ph); Probability (math.PR)

[12] arXiv:2501.01961 [pdf, other]

Title: A Satisfiability algorithm based on Simple Spinors of the Clifford algebra of $\mathbb{R}^{n,n}$

Marco Budinich

Comments: 28 pages, 15 references. arXiv admin note: substantial text overlap with arXiv:2103.03623

Subjects: Mathematical Physics (math-ph)

[13] arXiv:2501.02377 [pdf, html, other]

Title: Embedding integrable spin models in solvable vertex models on the square lattice

M.J. Martins

Comments: 23 pages

Subjects: Mathematical Physics (math-ph)

[14] arXiv:2501.02398 [pdf, html, other]

Title: Mixed state topological order: operator algebraic approach

Yoshiko Ogata

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)

[15] arXiv:2501.02877 [pdf, html, other]

Title: Multi-indexed Orthogonal Polynomials of a Discrete Variable and Exactly Solvable Birth and Death Processes

Satoru Odake

Comments: 33 pages

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Classical Analysis and ODEs (math.CA); Probability (math.PR)

[16] arXiv:2501.03149 [pdf, html, other]

Title: Velocity Addition/Subtraction in Special Relativity

Domenico Giulini

Comments: 65 pages, 3 figures

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc)

[17] arXiv:2501.03157 [pdf, html, other]

Title: A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials

Wencai Liu

Comments: Dedicated to Barry Simon on the occasion of his 80th birthday

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[18] arXiv:2501.03856 [pdf, html, other]

Title: Dynamical space-time ray tracing and modified horizontal ray method

Aleksandr Kaplun, Boris Katsnelson

Comments: arXiv admin note: text overlap with arXiv:2411.14178

Subjects: Mathematical Physics (math-ph)

[19] arXiv:2501.04010 [pdf, html, other]

Title: Pairs of Subspaces, Split Quaternions and the Modular Operator

Jan Naudts, Jun Zhang

Comments: 37 pages A4

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA)

[20] arXiv:2501.05041 [pdf, html, other]

Title: Quantum Birkhoff Normal Form in the $\sigma$-Bruno-R\"{u}ssmann non-resonant condition

Huanhuan Yuan, Yixian Gao, Yong Li

Subjects: Mathematical Physics (math-ph)

[21] arXiv:2501.05061 [pdf, html, other]

Title: Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges

Sung-Soo Byun, Peter J. Forrester, Sampad Lahiry

Comments: 38 pages, 5 figures

Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV); Probability (math.PR)

[22] arXiv:2501.05104 [pdf, html, other]

Title: Duality, asymptotic charges and algebraic topology in mixed symmetry tensor gauge theories

Federico Manzoni

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[23] arXiv:2501.05304 [pdf, html, other]

Title: Mean-Field Dynamics of the Bose-Hubbard Model in High Dimension

Denis Périce, Shahnaz Farhat, Sören Petrat

Subjects: Mathematical Physics (math-ph); Quantum Gases (cond-mat.quant-gas)

[24] arXiv:2501.05400 [pdf, html, other]

Title: A New Approach to the Representation Theory of Lorentzian Pseudo-Tensors

Craig McRae

Comments: 14 Pages, 3 Figures

Subjects: Mathematical Physics (math-ph)

[25] arXiv:2501.05747 [pdf, other]

Title: Skein Construction of Balanced Tensor Products

Manuel Araújo, Jin-Cheng Guu, Skyler Hudson

Comments: 25 pages

Subjects: Mathematical Physics (math-ph); Category Theory (math.CT); Quantum Algebra (math.QA); Representation Theory (math.RT); Quantum Physics (quant-ph)

[26] arXiv:2501.05957 [pdf, other]

Title: A primer of the complex WKB method, with application to the ODE/IM correspondence

Gabriele Degano, Davide Masoero

Comments: 14 figures, 59 pages. Lectures prepared for the summer school 'Contemporary trends in integrable systems', July 2024, Lisbon. In v2, a few typos were corrected, and a few sentences were reworded

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Classical Analysis and ODEs (math.CA)

[27] arXiv:2501.06486 [pdf, other]

Title: Combinatorial quantization of 4d 2-Chern-Simons theory I: the Hopf category of higher-graph states

Hank Chen

Comments: 58 pages

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA)

[28] arXiv:2501.06592 [pdf, html, other]

Title: Mean-field behavior of the quantum Ising susceptibility and a new lace expansion for the classical Ising model

Yoshinori Kamijima, Akira Sakai

Comments: 33 pages, 21 figures

Subjects: Mathematical Physics (math-ph); Probability (math.PR)

[29] arXiv:2501.06596 [pdf, html, other]

Title: PT-Symmetric $SU(2)$-like Random Matrix Ensembles: Invariant Distributions and Spectral Fluctuations

Stalin Abraham, A. Bhagwat, Sudhir Ranjan Jain

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[30] arXiv:2501.06616 [pdf, other]

Title: Lecture notes on conformal field theory

Pavel Mnev

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[31] arXiv:2501.07144 [pdf, html, other]

Title: Dualities in random matrix theory

Peter J. Forrester

Comments: 53 pages

Subjects: Mathematical Physics (math-ph)

[32] arXiv:2501.07241 [pdf, html, other]

Title: Segal-Bargmann transforms and generalized Weyl algebras associated with the Meixner class of orthogonal polynomials

Chadaphorn Kodsueb, Eugene Lytvynov

Subjects: Mathematical Physics (math-ph)

[33] arXiv:2501.07284 [pdf, html, other]

Title: Free energy of spherical Coulomb gases with point charges

Sung-Soo Byun, Nam-Gyu Kang, Seong-Mi Seo, Meng Yang

Comments: 25 page, 1 figure

Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV); Probability (math.PR)

[34] arXiv:2501.07369 [pdf, html, other]

Title: Momentum coupling of classical atoms

Andras Suto

Comments: 12 pages

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech)

[35] arXiv:2501.07406 [pdf, other]

Title: Instantons with continuous conformal symmetries: Hyperbolic and singular monopoles and more, oh my!

C. J. Lang

Comments: 97 pages, 1 table

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[36] arXiv:2501.07506 [pdf, html, other]

Title: On the solution of the harmonic-divgrad PDEs system

Federico Manzoni

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Analysis of PDEs (math.AP)

[37] arXiv:2501.07576 [pdf, other]

Title: The BCFW Tiling of the ABJM Amplituhedron

Michael Oren Perlstein, Ran Tessler

Subjects: Mathematical Physics (math-ph)

[38] arXiv:2501.07682 [pdf, html, other]

Title: Polyakov-Alvarez Formula for Curvilinear Polygonal Domains with Slits

Ellen Krusell

Comments: 23 pages, 4 figures

Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG); Spectral Theory (math.SP)

[39] arXiv:2501.07900 [pdf, html, other]

Title: The one-dimensional equilibrium shape of a crystal

Emanuel Indrei

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Differential Geometry (math.DG)

[40] arXiv:2501.07909 [pdf, html, other]

Title: The Wigner Little Group for Photons Is a Projective Subalgebra

Moab Croft, Hamish Todd, Edward Corbett

Comments: 13 pages, 4 figures, to be published in Advances in Applied Clifford Algebras

Subjects: Mathematical Physics (math-ph)

[41] arXiv:2501.08041 [pdf, other]

Title: Categorical quantum symmetries and ribbon tensor 2-categories

Hank Chen

Comments: 56 pages

Subjects: Mathematical Physics (math-ph); Category Theory (math.CT); Quantum Algebra (math.QA)

[42] arXiv:2501.08066 [pdf, html, other]

Title: Wasserstein distances and divergences of order $p$ by quantum channels

Gergely Bunth, József Pitrik, Tamás Titkos, Dániel Virosztek

Comments: 26 pages

Subjects: Mathematical Physics (math-ph); Operator Algebras (math.OA); Quantum Physics (quant-ph)

[43] arXiv:2501.08132 [pdf, html, other]

Title: Solution to SU(n+1) Toda system generated by spherical metrics

Yiqian Shi, Chunhui Wei, Bin Xu

Subjects: Mathematical Physics (math-ph)

[44] arXiv:2501.08151 [pdf, other]

Title: Renormalising Feynman diagrams with multi-indices

Yvain Bruned, Yingtong Hou

Comments: 38 pages

Subjects: Mathematical Physics (math-ph); Probability (math.PR); Rings and Algebras (math.RA)

[45] arXiv:2501.08481 [pdf, html, other]

Title: Operational solutions for the generalized Fokker-Planck and generalized diffusion-wave equations

K. Górska

Subjects: Mathematical Physics (math-ph)

[46] arXiv:2501.08777 [pdf, html, other]

Title: Integrable deformations of principal chiral model from solutions of associative Yang-Baxter equation

D. Domanevsky, A. Levin, M. Olshanetsky, A. Zotov

Comments: 31 pages

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

[47] arXiv:2501.08996 [pdf, html, other]

Title: Calculus with combinatorial differential forms for fluid flow analysis in porous and fractured media

Changhao Liu, Kiprian Berbatov, Majid Sedighi, Andrey P. Jivkov

Subjects: Mathematical Physics (math-ph); Fluid Dynamics (physics.flu-dyn)

[48] arXiv:2501.09669 [pdf, other]

Title: Relating the modular Hamiltonian to two-point functions

Markus B. Fröb

Comments: 17 pages, comments welcome

Subjects: Mathematical Physics (math-ph)

[49] arXiv:2501.00005 (cross-list from hep-th) [pdf, html, other]

Title: A Yang-Mills-Dirac Quantum Field Theory Emerging From a Dirac Operator on a Configuration Space

Johannes Aastrup, Jesper M. Grimstrup

Comments: 14 pages

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[50] arXiv:2501.00082 (cross-list from math.CV) [pdf, html, other]

Title: Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions

Alexander Hock (Heidelberg), Sergey Shadrin (Amsterdam), Raimar Wulkenhaar (Münster)

Comments: 29 pages. Conjecture 1 of v1 is Theorem 1 in v2 with proof in sec. 6

Subjects: Complex Variables (math.CV); Mathematical Physics (math-ph); Combinatorics (math.CO)