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 derives general bright-dark soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions by constructing two-bright-two-dark solutions for the four-component Hirota equation via the KP reduction method and analyzing their dynamical behaviors.
This paper demonstrates that in one dimension, every approximate quantum cellular automaton on a finite system can be rounded to an exact quantum cellular automaton with nearly identical local action, thereby proving that approximate QCAs are classified by the same index as exact ones through a novel local construction based on robust subalgebra intersections and Kitaev's rigidity theorem.
This paper establishes a bridge between homotopy type theory and information theory by defining probability types, demonstrating that homotopy cardinality respects dependent sums but not products, and deriving Shannon entropy and its chain rule as the homotopy cardinality of specific types constructed via deloopings of finite cyclic groups.
This paper investigates the asymptotic symmetry structure of Jackiw-Teitelboim supergravity within a BF framework, demonstrating how the dilaton supermultiplet dynamically reduces the affine symmetry to a specific subalgebra with an abelian ideal, thereby providing a consistent bulk-based framework for studying boundary dynamics beyond the Schwarzian regime.
This paper establishes a non-unitary version of the Bisognano-Wichmann property and proves Haag duality for nets of smeared Wightman fields by deriving Tomita-Takesaki-like results directly from Wightman axioms, thereby extending these fundamental algebraic quantum field theory concepts to non-unitary theories where traditional Hilbert space functional analysis tools are unavailable.
This paper defines a compactification of the parameter space for the quantum multiplication of hypertoric varieties, following deConcini and Gaiffi, and demonstrates how to extend this multiplication to the compactified space.
This paper proposes and numerically validates a universal tight-binding model on arbitrary triangulations of closed orientable surfaces, which utilizes boundary and Poincaré duality maps to generate robust topological spectral gaps and Chern numbers, thereby enabling the realization of topological edge modes in real-world metamaterials.
This paper introduces an intrinsic deformation of smooth function algebras on compact Riemannian manifolds via spectral channel twisting, establishes conditions for its extension to Sobolev algebras and associativity, and demonstrates that classical strict deformations arising from abelian group actions are unified as specific instances of this framework.
This paper proves that for finite-dimensional quantum systems undergoing single-branch collapse dynamics without information erasure, operational irreversibility is structurally impossible because every physically admissible collapse selector contains a forward-invariant subset of states that can be connected with arbitrarily high precision and negligible energy cost, thereby establishing islands of quasi-reversibility.
This paper establishes an up-to-constant estimate for the critical two-point function restricted to a half-space in high-dimensional Bernoulli percolation (), thereby completing prior work by Chatterjee, Hanson, and Sosoe and resolving a specific question posed by Hutchcroft, Michta, and Slade.