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 investigates blowup relations in the partition functions of 5d SYM theories with four flavors, linking their Weyl group symmetries to Lie algebra weights and utilizing these relations to derive bilinear equations for -Painlevé VI tau functions.
This paper demonstrates that a generalized Bethe ansatz framework reduces the time-dependent Schrödinger equation for quantum field theories with time-varying interaction strengths to quantum Knizhnik-Zamolodchikov (qKZ) equations, thereby establishing integrability conditions and providing explicit many-body wavefunctions, as illustrated by the exact solution of the Gross-Neveu model.
This paper establishes operator-norm bounds and essential self-adjointness for discrete Hodge Laplacians on weighted flag complexes without curvature assumptions, utilizing Schur-type estimates and unitary conjugations to derive sharp spectral criteria for specific graph structures like regular bipartite graphs and amenable lattices.
This paper demonstrates that for quantum Hamiltonians with time-dependent interaction strengths, the constraints required for integrability via the generalized Bethe ansatz and quantum Knizhnik-Zamolodchikov equations are identical to the renormalization group flow equations of their static counterparts, establishing a universal correspondence between integrability and RG flow in time-dependent systems.
This paper investigates planar -body Hamiltonian systems with dihedral symmetry to distinguish between frequency commensurability, maximal superintegrability, and choreographic symmetry, proving that resonant orbits are not necessarily choreographies and identifying specific obstructions to choreographic realization in cases like .
This paper presents a general method for constructing second-order graded Casimir elements and corresponding graded central extensions for the loop algebras of color Lie algebras, demonstrating the applicability of this approach through specific examples involving , , and over various Abelian groups.
This paper presents an exact analytical model describing the final stage of axisymmetric gravitational collapse into a Kerr black hole, characterized by a time-dependent rotation parameter that predicts transient anisotropic curvature signatures and a novel quasi-extremal regime without requiring the rotation to approach the mass limit.
This paper constructs a causal, finite-energy magnetic black hole model within nonlinear electrodynamics that satisfies key physical stability criteria, admits exact solutions with a single horizon, and predicts distinct observational signatures in photon spheres and black hole shadows that differ between ordinary and extraordinary electromagnetic wave branches.
This paper establishes that while Busemann increments in exponential last-passage percolation lose independence when considering multiple asymptotic directions simultaneously, they exhibit negative association, a property leveraged to derive exponential concentration inequalities for their sums on the diffusive scale.
This paper generalizes the two-sided Bogoliubov inequality to arbitrary von Neumann algebras using Araki-Uhlmann relative entropy and unbounded KMS perturbation theory, thereby establishing a thermodynamic criterion for quantifying entanglement in infinite-dimensional quantum systems.