3210 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper establishes an isomorphism between the skein algebra of the punctured torus and the spherical double affine Hecke algebra by utilizing -nonabelianization in gauge theory to unify various algebraic representations through the physical framework of framed BPS states and wall-crossing phenomena.
This paper introduces GridapGeosciences.jl, a parallel Julia package built on the Gridap library for solving partial differential equations on general manifolds, demonstrating its capabilities through intrinsic formulations of scalar transport, thermal shallow water, and Boussinesq equations on a cubed sphere.
This paper constructs Bogomol'nyi equations for Abelian gauge-Higgs vortices within Kruglov nonlinear electrodynamics by deriving first-order equations via the stressless method, analyzing the resulting constitutive maps to establish admissibility conditions for various exponents, and demonstrating that the BPS string tension remains purely topological and independent of the nonlinear parameters.
This paper establishes that the overlaps of independent replicas in the Curie-Weiss Random Field model with Gaussian disorder exhibit sub-Gaussian tails in the high-temperature regime () by proving finite-moment concentration via a rigorous Laplace approximation and bootstrapping it to a uniform bound on the moment-generating function.
This paper presents a finite-strain logarithmic viscoelastic model for Antarctic ice shelves that employs an additive split of Hencky strain rates to integrate Glen's flow law with isotropic elasticity, demonstrating through finite-element simulations how viscoelasticity and front morphology govern tension near the ice shelf terminus.
This paper provides a rigorous analytical derivation of closed-form expressions for the transfer matrix of finite Kronig-Penney models with Dirac delta potentials by expressing the Nth power of the unit-cell matrix in terms of Chebyshev polynomials of the second kind, thereby revealing a novel structural correspondence between quantum scattering processes, discrete convolutions, and hypercomplex combinatorial structures.
This paper introduces new phase coordinate transformations within the Moyal noncommutative framework that incorporate space-space and space-momentum noncommutativity to construct deformed, superintegrable two-dimensional harmonic oscillators and derive the Painlevé second equation, thereby revealing additional symmetries and generating Yablonskii-Vorobev polynomials.
This paper presents a comprehensive electromagnetic simulation-based characterisation of the direction-dependent polarisation primary beam of the GRAO 32-m telescope at 5.0 and 6.7 GHz, quantifying key parameters such as beam widths, efficiencies, squint, and instrumental leakage to establish a quantitative baseline for high-fidelity polarimetric calibration.
This review presents a reduction-based methodological framework that connects nonlinear wave equations to reduced dynamical systems to analyze invariant phase-space structures, stability, and waveform correspondence across diverse physical models, while identifying current methodological gaps and emphasizing physical admissibility and predictive relevance over the mere generation of formal solutions.
This paper initiates a program to construct hyperholomorphic families of (BBB)-branes for the Kapustin–Witten B-twist of the Langlands QFT by defining quasi-algebraic sheaves over the Deligne moduli stack to represent a simplified Moore–Tachikawa category motivated by the relative Langlands program.