3366 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 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.
This paper generalizes the explicit construction of orbifold states in products of minimal models to include D and E-type modular invariants, demonstrating that spectral flow twisting is consistent with nondiagonal pairings and that the resulting mirror isomorphism between dual group orbifolds is inherently built into the construction, as illustrated by the model.
This paper reinterprets the Hamilton-Jacobi equation as a model reduction that eliminates velocity degrees of freedom, thereby extending its applicability to general Newtonian systems with non-conservative forces and deriving a dissipative Schrödinger equation through a geometric optics approximation.
This paper demonstrates that for random matrices with standard complex Gaussian entries, the zeros of the permanent polynomial are confined to a disk of radius , thereby enabling efficient approximation algorithms for the permanent with polynomially small biases while simultaneously proving that the bulk of these zeros lie at magnitude to preserve the conjectured average-case hardness of the problem.
This paper demonstrates that hierarchical symmetry serves as a necessary and sufficient condition to uniquely select log-Poisson cascades from the broader log-infinitely-divisible family, while also establishing their classification and stability under approximate symmetry.