3366 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 the concept of quasi-twilled Lie algebras to provide a unified framework for defining two types of deformation maps that encompass various operators in Lie algebra theory, thereby establishing their controlling algebras and cohomologies to recover known results and solve previously intractable problems regarding modified -matrices and deformation maps of matched pairs.
This paper investigates how the fusion 2-category symmetry of a fermionic (2+1)d quantum field theory is modified when stacking with topological field theories, specifically , is treated as an equivalence relation, revealing a finite set of inequivalent symmetry modifications linked to minimal nondegenerate extensions and tangential structures.
This paper generalizes the Swendsen-Wang and invaded-cluster algorithms to Potts lattice gauge theory using a plaquette random-cluster model, demonstrating that these methods significantly accelerate autocorrelation decay and enable efficient sampling on 4-dimensional tori compared to traditional single-spin dynamics.
This paper presents exact, horizonless traversable wormhole solutions in massive gravity by combining a perturbative dRGT graviton-mass term with various redshift profiles, demonstrating that the additional anisotropic pressure from the mass term can sustain the wormhole throat while satisfying or minimally violating energy conditions.
This paper establishes a generalized crystalline equivalence principle that proves an equivalence between topological quantum field theories (TQFTs) with spatial -symmetry and those with internal symmetry, while simultaneously providing a unified framework for defining and classifying anomalies in both spatial and categorical symmetry contexts.
This paper utilizes Random Matrix Theory to investigate spectral fluctuations in multilayer networks, demonstrating that universal statistical features persist across varying connectivity configurations and successfully modeling the crossover between independent and fully coupled layer statistics, with applications validated on real protein structures.
This paper proves that weakly interacting spinful lattice fermions coupled to a dynamical gauge field in the -flux phase form a topologically ordered, fully gapped system where dressed monopole excitations exhibit toric code braiding statistics with fermions and vanish self-braiding due to zero Hall conductance.
This paper presents a mathematical framework that extends symmetry reduction to classical field theories using the De Donder-Weyl formalism and multisymplectic geometry, allowing for the identification and removal of redundant degrees of freedom associated with global scale while maintaining Lorentz covariance.
This paper introduces "folded optimal transport," a unified framework that extends cost functions from extreme boundaries to entire convex sets using Choquet theory, thereby generalizing classical optimal transport and enabling the construction of a separable quantum Wasserstein distance on density matrices derived from pure states.
This paper demonstrates that the Gel'fand-Yaglom theorem and the Green's function method are completely equivalent for computing ratios of functional determinants of one-dimensional operators through a contour integral argument, while also providing a natural prescription for handling vanishing and negative eigenvalues.