3190 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 sign-problem-free bosonic auxiliary-field quantum Monte Carlo method that leverages time-reversal symmetry and reflection positivity to enable numerically exact simulations of frustrated bosonic systems, overcoming limitations of conventional approaches.
This paper introduces a one-parameter family of five-dimensional non-flexible quadratic real algebras that interpolate between Hamilton's quaternions and Pentarnions, analyzing how the parameter alters their geometric structure and automorphism groups to derive a classical spin model exhibiting both regular and irregular dynamics under time-varying conditions.
This paper provides an explicit quantitative analysis of bounded realizations of the Caputo derivative on coefficient Banach spaces, establishing sharp thresholds for chaos and hypercyclicity while solving optimal approximation and exact-arrival problems through constructive periodic and simultaneous reconstruction formulas.
This paper establishes a complete formulation of maximal Cartan-gauged seven-dimensional supergravity and derives the full set of timelike supersymmetric geometries, revealing distinct structural behaviors based on flux activation and providing a systematic classification and toolbox for constructing BPS solutions and exploring holographic applications.
This paper establishes a topological and combinatorial interpretation of the inverse KLT kernel for -point AdS string-amplitude building blocks by constructing an intersection matrix from regularized twisted cycles within the framework of twisted de Rham theory, thereby linking sphere and disk integrals through local monodromies and Drinfeld associators.
This paper proves that the Hasegawa-Mima equation arises as the limit of a magnetized pressureless Euler-Boltzmann system under a specific scaling regime by establishing uniform estimates that compensate for fast oscillations, while also demonstrating the equation's utility in investigating the conditional properties of inverse energy cascades and drift waves.
This paper establishes a symmetry reduction framework for optimal control problems using Dirac structures, demonstrating that the reduced first-order conditions derived from the Pontryagin Maximum Principle correspond to Hamiltonian equations on the dual of an Atiyah algebroid while proving the commutativity of reduction with constraint algorithms and analyzing the geometric nature of abnormal extremals.
This paper constructs a broad class of exact, generally non-symmetric solutions to the nonlinear wave equation in three dimensions by deriving first-order differential constraints via linear determining equations, which link specific nonlinearity types (such as cubic, exponential, or quintic) to the geometry of wave fronts and yield diverse physical configurations including sine-Gordon walls, moving point sources, and finite-energy solutions with prescribed nodal surfaces.
This paper establishes the rational analogue of the elliptic Rains identity of type , derives its reductions, and connects these results to well-known integrals in existing literature.
This paper investigates how perturbations of topological defects by relevant holomorphic fields in two-dimensional conformal field theory lead to renormalization group flows that define a semiring homomorphism preserving functional relations between translation invariant defects and an asymptotic semiring constructed from topological defects, thereby constraining the infrared endpoints of these flows in models such as Virasoro minimal models.