2656 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 the uniqueness of the mass renormalisation required to ensure gauge covariance in the local solutions of 3D stochastic Yang-Mills-Higgs equations, utilizing systematic short-time expansions and refined state spaces to strengthen previous results and support the identification of limits for other approximations like lattice dynamics.
This paper initiates the geometric study of Bethe Ansatz equations for open spin chains by establishing a correspondence between their spectra and a newly defined space of reflection-invariant -opers, specifically constructing this duality for type-A systems.
This paper proposes a simple change of variables to resolve dimensional consistency issues when replacing ordinary time derivatives with fractional derivatives in equations featuring non-singular kernels, demonstrating the method's validity through a specific example.
This paper establishes that the partition function of the hard-core model is zero-free in a complex neighborhood up to the connective constant threshold , thereby proving the uniqueness and analyticity of the free energy density for infinite lattices beyond the traditional maximum degree bounds.
This paper establishes that extended Abelian Chern-Simons theories with gauge group are completely classified, up to symmetric monoidal natural isomorphism, by finite quadratic modules, which consequently also classify pointed Abelian Reshetikhin-Turaev TQFTs and pointed modular tensor categories.
This paper establishes a concrete closed string dual for any interacting Hermitian one-matrix model in the standard 't Hooft regime by identifying the worldsheet theory as a supersymmetric B-twisted Landau-Ginzburg model coupled to 2d topological gravity, thereby providing a precise dictionary that matches matrix and string correlators to all orders in the genus expansion and 't Hooft coupling.
This paper establishes that transformation formulas for multiple -hypergeometric series, specifically the Kajihara and Hallnäs–Langmann–Noumi–Rosengren transformations, correspond to wall-crossing formulas of -theoretic vortex partition functions in 3d and gauge theories, thereby providing a geometric interpretation of these Euler transformations via the wall-crossing behavior of handsaw quiver varieties.
This paper initiates a novel application of the quantum inverse scattering method to the 20-vertex model by utilizing higher-dimensional L-operators to establish a 3D Poisson structure, triangular height functions, and a framework for weak integrability, thereby extending the study of Hamiltonian systems beyond the previously analyzed 6-vertex model.
This paper proves the existence of topologically nontrivial energy-minimizing maps with higher degrees in a magnetic skyrmion model by strategically inserting truncated Belavin-Polyakov profiles into lower-degree configurations, provided the domain is sufficiently large or slender to prevent degree loss.
This paper derives a reduced energy functional for ultrathin ferromagnetic multilayers hosting skyrmions and demonstrates that in bilayer systems, the global energy minimizers consist of two antiparallel Néel skyrmions stabilized by stray field coupling.