1605 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 establishes that the category of -twisted representations of a conformal net with a discrete group action naturally forms a -crossed balanced -tensor category, thereby extending Müger's earlier results on -crossed braided tensor categories to the setting of not necessarily rational nets using localized endomorphisms.
This paper investigates the asymptotic behavior of complex - symbols, demonstrating that when their parameters scale according to the dihedral angles of a hyperideal hyperbolic tetrahedron, the symbols relate to the tetrahedron's volume and Gram matrix determinant, with potential implications for the complex Liouville string in specific cases.
This paper presents an exactly solvable five-parametric fermionic three-site Swanson-like model that elucidates the unitary evolution toward a triple exceptional point (EP3), explicitly characterizing the degeneracy and its unitary-accessible vicinity while distinguishing the true singularity from a nearby avoided false energy-level crossing.
This paper extends constructive quantum field theory techniques to analyze both ordinary and scalar cumulants of a simple matrix model in the bounded rank regime, providing results valid for arbitrarily large positive coupling through the application of a variational approach.
This paper proves Robert Bartnik's 1988 cosmological splitting conjecture by demonstrating that a timelike geodesically complete, globally hyperbolic spacetime with compact Cauchy surfaces satisfying the strong energy condition must split isometrically as a Lorentzian product, utilizing global viscosity solutions to the Lorentzian eikonal equation and an elliptic approach involving the -d'Alembertian operator for .
This paper introduces a multiparameter version of quantum universal enveloping superalgebras and demonstrates that their families, along with their associated multiparameter Lie superbialgebras, remain stable under toral-type twist and 2-cocycle deformations, thereby proving that quantization commutes with deformation.
This paper proposes a novel framework for quantum optimal transport by defining transport costs as linear functions of "states over time" (the Jordan product of a density matrix and a transport map), revealing that this approach yields qualitatively different results from classical Monge transport theory, particularly in the analytically tractable case of unitary-invariant costs.
The paper proposes a novel operator algebraic framework called "Poissonization" to describe the rare topology-changing events in quantum gravity as a universal Poisson process, thereby explaining late-time spectral form factor plateaus and unifying the description of baby universe statistics and multi-boundary correlators across various models like Marolf-Maxfield and Jackiw-Teitelboim gravity.
This paper demonstrates that in the Edwards-Anderson Ising spin glass, the non-existence of space-filling critical droplets implies that incongruent ground states would exhibit volume-scaling energy variance, a result which proves the uniqueness of the metastate in two dimensions and establishes that excitations with positive-density interfaces have energy differences diverging as the square root of the volume.
This paper establishes a geometric framework linking nonabelian multiplicative integration on surfaces to surface holonomy, interpreting the local Stokes law as a curvature obstruction and deriving a global three-dimensional Stokes relation that reproduces the Wess-Zumino phase formula.