3364 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 introduces a shell-based shortest-path anisotropy statistic for graph discretizations of black-hole geometries, demonstrating that this measure exhibits a stable radial organization strongly correlated with the logarithmic Kretschmann profile across various black-hole families, thereby serving as a curvature-sensitive diagnostic distinct from universal pointwise curvature scalars.
This paper presents a novel 5D UV completion for a class of Argyres-Douglas theories by embedding them into the renormalization group flow of 5D SCFTs on , utilizing the (-)Painlevé/gauge theory correspondence to compute BPS partition functions and analyze the phase diagram, with explicit results provided for the SCFT and its limit to the H AD theory.
This paper presents heuristic Euler-style computations that derive explicit expressions for the regularized infinite products of Gauss and Eisenstein integers and primes, extending the methodology used to evaluate the product of all natural primes.
This paper demonstrates that by selecting appropriate boundary conditions for the Laplacian, an ideal Bose gas in the thermodynamic limit can support an arbitrary number of Bose-Einstein condensates described by arbitrary harmonic functions.
This paper analytically and numerically investigates three non-Hermitian random matrix universality classes (A, AI, and AII) by characterizing their complex edge statistics through spacing ratios and nearest-neighbour distributions, revealing varying degrees of level repulsion consistent with a 2D Coulomb gas description and confirming universal cubic repulsion in the small-argument limit.
This paper investigates the geometry of classical trajectories in separable two-dimensional polynomial potentials, distinguishing between the global superintegrability of harmonic oscillators and the particular, trajectory-dependent superintegrability of anharmonic oscillators where closed nonlinear Lissajous orbits arise only under specific resonance conditions.
This paper proposes a differentiable framework for topology-constrained optimization that utilizes Hodge-spectral relaxations and low-pass filters to create smooth, geometry-aware surrogates for discrete homological constraints, enabling more effective optimization of Betti numbers and persistent homology in both graph and point cloud settings.
This paper constructs a discrete BF formulation of two-dimensional Carroll dilaton gravity, demonstrating that its boundary symmetries form an affine Carroll algebra with a conformal Virasoro reduction, thereby establishing the ultra-relativistic counterpart to discrete Jackiw-Teitelboim gravity.
This paper establishes a direct link between Onsager symmetry, duality defects, and quantum integrability in the XXZ spin chain at roots of unity by constructing a lattice realization of the Onsager algebra and its duality automorphism via a non-Abelian algebra of transfer matrices, thereby demonstrating that non-Abelian integrability naturally gives rise to categorical dualities and topological defect lines.
This paper demonstrates that weighted transport geometry, rather than binary topology alone, serves as the primary organizer of functional memory in complex systems, revealing a universal, low-dimensional structure where interaction strengths systematically govern memory depth across diverse biological, ecological, social, and technological networks.