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 a correspondence between the generalized Schur indices of 4d and superconformal field theories and the eigenfunctions of non-relativistic integrable models, such as the elliptic Ruijsenaars-Schneider and Inozemtsev systems, thereby deriving new mathematical identities and extending these relationships to various classes of SCFTs.
This paper critically examines the limitations of neural surrogates for multiscale partial differential equations, arguing that their success is often confined to low-dimensional manifolds and that fundamental issues like spectral bias and irreversible information loss from coarse-graining prevent them from reliably generalizing to genuinely chaotic scenarios, while suggesting that their true value lies in specific hybrid approaches and improved reporting standards.
This paper introduces a graph-theoretic method that determines the number and localization of massless fermion modes in latticized theory-space models by analyzing the maximum matching and Dulmage-Mendelsohn decomposition of bipartite graphs representing mass terms, providing a parameter-independent tool for systematic model construction.
This paper introduces a framework for "native" quantum games where strategic interaction and Nash equilibria emerge intrinsically from the unitary dynamics of coupled discrete-time quantum walks, demonstrating that stable strategy profiles arise specifically from interaction-induced interference rather than external mathematical imposition.
This paper establishes the existence of macroscopic loops in the random loop model with crosses and bars on sparse random graphs by developing a deterministic drift method that yields averaged lower bounds for macroscopic loop probabilities when edge density exceeds a specific threshold, with these results strengthened to pointwise bounds for integer loop weights via trace representation.
This paper rigorously proves that the basins of attraction for identical oscillators on a ring coupled by any smooth, strictly increasing odd function exhibit an "octopus-like" geometry with volume scaling as and concentrated in filamentary tentacles, thereby validating the conjecture previously supported only by unreliable high-dimensional simulations.
This paper provides a complete characterization of the phase diagram for the Ising model on a two-community stochastic block model, detailing the almost sure uniqueness/non-uniqueness phase transition, the convergence of magnetization to specific Dirac mixtures in the supercritical regime, and the distinct fluctuation behaviors (Gaussian vs. non-Gaussian) in the subcritical and critical regions.
This paper investigates the complexity of TAP states in Ising spin glasses by formulating three conjectures linking their enumeration to the Legendre transform of Parisi-based functionals and establishing a lower bound on the annealed complexity that supports these predictions.
This paper investigates instanton counting in four-dimensional supersymmetric gauge theories on the blow-up of by modeling the moduli space as a quiver variety with stability parameters, characterizing contributions via super-partitions to analyze wall-crossing phenomena and explicitly reproduce the Nakajima-Yoshioka blow-up formula.
This paper develops an exact path integral formulation for finite-dimensional quantum systems in discrete phase space, deriving a sum-over-paths propagator that captures full entanglement dynamics through coherent contributions from all fluctuation sectors, thereby overcoming the limitations of single-sector approximations and providing a framework for semiclassical simulation and non-classicality characterization.