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 presents a Lie symmetry analysis of the tempered-fractional Keller-Segel system using a novel approach to handle nonlocal operators, resulting in the derivation of exact solutions through similarity reductions that provide insights into the model's aggregation dynamics.
This paper demonstrates that Cayley-Schreier lattices naturally host implementable non-Abelian gauge structures linked to space-group symmetries, enabling the realization of diverse topological invariants through pseudospin models in existing experimental platforms.
This paper proposes a grafting method based on multi-tensor-product generalized double-bosonization and Lie-theoretic root system data to construct larger quantum groups from smaller ones, thereby providing a comprehensive framework to resolve the generation problem central to Majid's conjecture.
This paper introduces a novel symmetry decomposition approach to derive "Painlevé solitons" for the AKNS system and NLS equations, significantly expanding the known solution landscape by generating new classes of irrational algebraic, rational algebraic, and parabolic cylindrical function solitons governed by Painlevé IV transcendent backgrounds.
This paper presents an algebraic theory of robust ergodicity breaking in time-periodic unitary circuits by constructing local causal constraints that arrest operator spreading, leading to causally independent subsystems characterized by super-operator symmetries, entanglement area laws, and non-ergodic spectral correlations.
This paper extends the construction of scalar channel descendants in the operator product expansion (OPE) on conformally flat spaces and investigates short-distance behaviors of three-point functions on non-conformally flat curved spaces, identifying necessary corrections to the existing ansatz to ensure a local covariant OPE.
This paper defines a relative -index for parity-invariant pure states on -algebras and applies it to one-dimensional self-dual CAR algebras to construct a many-body Majorana number that completely classifies symmetric automorphic-path components of interacting superconductors.
This paper develops a phase space formulation for large Hermitian matrix models by deriving semiclassical action-angle variables from orthogonal polynomial recursions, demonstrating that the resulting momentum profiles and phase space structures align with the Wigner transform of the Christoffel-Darboux projector and the planar spectral curve across one-cut, two-cut, and multicut phases.
This paper demonstrates that while topological cycles in the simplicial Kuramoto model prevent global synchronization by creating a drifting harmonic subspace, the system still admits stable fixed-point states in non-harmonic sectors above a critical coupling strength, with the overall robustness to perturbations inversely scaling superlinearly with the dimension of this topological harmonic subspace.
This paper presents a systematic Eulerian pseudo-spectral study of passive scalar advection in rough two-dimensional Kraichnan flows across the full range of velocity roughness exponents, validating theoretical scaling laws and anomalous statistics while providing practical guidelines for simulation parameters and establishing a baseline for more complex models.