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 initiates a program to construct hyperholomorphic families of (BBB)-branes for the Kapustin–Witten B-twist of the Langlands QFT by defining quasi-algebraic sheaves over the Deligne moduli stack to represent a simplified Moore–Tachikawa category motivated by the relative Langlands program.
This paper investigates generalized Eddington–Finkelstein coordinates to derive, classify, and analyze both vacuum and non-vacuum Vaidya-type solutions with spherical, hyperbolic, and planar symmetries in Weyl conformal gravity, highlighting their structural non-triviality and key properties such as singularities, horizons, and gauge equivalence to Einstein spaces.
This paper establishes a topological framework within Chern-Simons theory that utilizes Kac-Moody algebras and 3-manifold path integrals to construct Clifford operators and explicitly realize non-stabilizer states like and Dicke states, while linking modular transformations to quantum operations to advance the geometric understanding of entanglement in topological quantum field theory.
This paper characterizes specific cases of generalized quasi-Einstein manifolds, demonstrating that those admitting a parallel time-like vector field correspond to generalized Robertson-Walker, Robertson-Walker, and quasi-constant curvature spacetimes, while also analyzing their physical implications and energy conditions within the framework of F(R)-gravity.
This paper investigates how a uniform magnetic field induces elastic backscattering in periodically deformed helical edge states of a 2D topological insulator, leading to magnetic-field-periodic oscillations in the forbidden-band widths and edge conductance that arise from a unique semiclassical scattering mechanism controlled by complex infinity in the weak-field regime.
This paper investigates the annealed survival probability of a random walk in an inhomogeneous Poisson environment of mobile traps on , establishing asymptotic results for dimensions and proving limit theorems for that generalize previous findings for homogeneous settings while demonstrating how spatial inhomogeneity influences decay rates.
This paper utilizes the framework of q-opers to establish an algebro-geometric duality that maps the energy levels of classical B/C/D-type trigonometric Ruijsenaars-Schneider systems to the solutions of type A XXZ spin chains with open boundary conditions, generalizing previous GL(N) results through a folding mechanism.
This paper confirms the 2007 prediction of Kenyon and Okounkov by proving that the height fluctuations of uniformly random lozenge tilings of simply connected polygonal domains with sides converge to the Gaussian free field in the liquid region, achieved through the introduction of a tiling action function that enables a uniform approximation of the inverse Kasteleyn matrix.
This paper presents a comprehensive theoretical analysis of -dimensional fermions with nonminimal coupling, deriving non-relativistic limits and exploring the effects of harmonic and electric potentials to reveal significant impacts on condensed matter properties such as electronic behavior, Hall conductivity, and polarizability.
This paper derives an asymptotic model for large-scale, non-equatorial wind-driven ocean currents in spherical coordinates by performing a double expansion in the Rossby number and the ratio of Ekman depth to Earth's radius, establishing the existence and uniqueness of the leading-order Ekman spiral solution for arbitrary eddy viscosity profiles, and demonstrating that the model offers deeper insights than classical theories while aligning with observational data.