2548 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 demonstrates that for Abelian Chern-Simons topological orders, torus Berry matrices uniquely determine the all-genus extended topological quantum field theory by reconstructing the underlying finite quadratic module and enabling the recovery of the Abelian fusion algebra through nearest-row decoding.
This paper establishes that the doubled correlation functions of primary fields in the near-critical two-dimensional Ising model with plus boundary conditions are equivalent to those of the sine-Gordon model at the free fermion point, thereby proving a specific instance of bosonization through the analyticity of massive holomorphic functions and a controlled iterated Mayer expansion.
This paper establishes a diffeological framework for the geometry of Euler–Reynolds subsolutions by constructing a limit space with intrinsic tangent vectors that satisfy distributional linearized equations, thereby distinguishing observable perturbations from hidden stress-gauge directions and characterizing deviatoric stress tensors through finite-mixture models.
This paper computes the Cheeger constant for curved tubes in real space forms of arbitrary dimensions by establishing matching upper and lower bounds through Fermi coordinates and a calibration-type argument, while also proving the non-existence of finite-volume Cheeger sets for unbounded tubes in noncompact space forms.
This paper develops a real twistor-space formulation for four-dimensional CFT correlators by expressing conformal generators and little-group constraints in ambitwistor space, solving for parity-even and odd structures, and establishing connections to Grassmannian and massive twistor formulations to recover physical position-space correlators.
This paper demonstrates that a Gaussian binary branching random walk in a uniform magnetic field retains its fundamental structure as a branching random walk with non-identically distributed displacements, enabling a complete characterization of its thermodynamic properties and the derivation of a strong concentration result for magnetization and its Ising overlap distribution via a novel two-replica large-deviation argument.
This paper addresses the inverse Feshbach problem by demonstrating that reconstructing a full Hamiltonian from a specific energy-dependent effective Hamiltonian reduces to solving coupled polynomial algebraic equations, a process shown to be feasible via computer-assisted symbolic manipulation for small values of .
This paper presents an exact finite-size spectral solution for the periodic non-Hermitian Baxter-Fendley clock chain by utilizing an operator-valued matching polynomial to generate conserved quantities and derive polynomial spectral equations, enabling efficient numerical computation of ground-state energies and revealing distinct boundary-induced criticality compared to the open-chain counterpart.
This paper demonstrates that the conformal-to-Carter metric represents the most general form of non-vacuum stationary axisymmetric type D spacetimes with geodesic and shearfree principal null directions, establishing this result without relying on the restrictive assumptions previously used by Ovcharenko and Podolský.
This paper establishes exact small-time asymptotics for the total mass of the parabolic Anderson model in a bounded domain, revealing that the behavior is governed by a phase transition arising from the competition between heat diffusion geometry, the fractional Brownian sheet's temporal fluctuations, and Stratonovich renormalization effects.