1694 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 classifies intrinsically mixed d bosonic SPT phases with non-invertible symmetry by establishing a correspondence with endomorphisms of , identifying their associated bulk condensable algebras, and providing an explicit lattice realization via modified Kitaev quantum double models that yield twisted group-based cluster states.
This paper presents a closed-form analytic expression for four-point correlation numbers involving Ramond fields in super Minimal Liouville Gravity by adapting the higher equations of motion framework and boundary contribution methods previously established for bosonic and Neveu-Schwarz sectors.
This paper utilizes the Bethe ansatz to determine the dynamical spectra of the one-dimensional supersymmetric t-J model, revealing how fractionalized spin and charge excitations, bound states encoded in Bethe strings, and distinct collective excitation boundaries manifest in single-electron Green functions across various magnetization and filling regimes.
This paper presents the first rigorous analysis of optimal local interventions in the two-dimensional Abelian sandpile model, demonstrating that strategically removing sand grains at specific locations can effectively mitigate avalanche sizes by balancing the reduction of large events with the increase in mitigated occurrences.
This paper establishes the asymptotic relationship between the determinants of graph Laplacians on discretized flat surfaces and zeta-regularized determinants to derive explicit formulas for the probabilities of cycle-rooted spanning forests inducing specific laminations and for the limits of associated topological observables.
This paper reviews a gauge-theoretic framework generalizing Witten's proposal by defining a one-parameter family of instanton Floer homology groups for four-manifolds through dimensional reductions of the Haydys-Witten equations, ultimately establishing a precise restatement of Witten's conjecture that identifies the specific case of on a knot-blowup four-manifold with Khovanov homology.
This paper demonstrates that for non-compact Lorentzian manifolds satisfying the "no observer horizons" condition, the group of time orientation-preserving isometries acts properly, leading to the existence of an invariant Cauchy temporal function and a structural decomposition of the isometry group into a compact subgroup and a time-translation component restricted to the trivial group, , or .
This paper analyzes a two-step port-based teleportation protocol that reuses the same resource state, demonstrating that it achieves high fidelity comparable to optimal multi-port teleportation while proving that entanglement recycling remains feasible even with non-optimized resources.
This paper introduces a mathematically well-posed second-gradient framework for incompressible viscous fluids with pressure-dependent viscosity that ensures ellipticity of the governing pressure equation, and demonstrates that explicit solutions for steady cylindrical flows converge to classical Navier-Stokes results as characteristic length scales vanish.
This paper establishes a rigorous framework for analyzing ergodicity and mixing in time-inhomogeneous quantum dynamics by introducing a quantum Markov-Dobrushin approach that quantifies convergence rates, reveals the structural nonequivalence of forward and backward evolutions, and unifies the theory with non-translationally invariant matrix product states for experimentally relevant many-body systems.