3210 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 constructs a Batalin-Vilkovisky (BV) structure on the zero modes of quadratic elliptic higher abelian gauge theories, demonstrating the independence of the associated BV integral from the choice of zero-mode Lagrangian and deriving explicit partition functions for various -form abelian gauge theories.
This paper introduces a graph polynomial for colored embedded graphs using algebraic topological tools and physics-inspired concepts to analyze how the polynomial changes under graph operations and to apply it to graph classification and topological entanglement entropy.
This paper demonstrates that a Markovian partial exclusion process on a random trapping environment converges to a fractional kinetics equation in dimensions , while in one dimension (), it converges to a singular quasi-diffusion known as FIN diffusion.
This paper constructs stable Hilbert bundles admitting Hermitian–Einstein metrics on complex smooth projective curves of positive genus by leveraging Diophantine approximation within Bridgeland stability conditions to bound metric norms and further investigates their continuous, smooth, and holomorphic structures to illuminate connections with quantum field theory.
This paper solves the classical and quantum problems for the 1D sigma model with a flag manifold target space by mapping it to a Gaudin spin chain, thereby explicitly describing geodesics via elliptic functions and determining the Laplace-Beltrami spectrum through polynomial Bethe equations.
This paper extends the geometric interpretation of WDVV equations to arbitrary dimensions by representing them as linear line congruences and Hamiltonian systems, demonstrating their reduction to a passive orthonomic form in low dimensions to establish the commutativity of these systems, and conjecturing that this passivity holds universally.
This paper introduces q-analogues of Mirzakhani's and Stanford-Witten's recursions for Weil-Petersson and super Weil-Petersson volumes, demonstrating that these deformations align with the leading terms of Okuyama's quasi-polynomials and proposing an extension of his methods to the super setting.
This paper provides a geometric and variational derivation of the Gorini--Kossakowski--Sudarshan--Lindblad equation by demonstrating that it arises naturally from Euler--Poincaré reduction on an adjoint-coupled semidirect product, where the dissipative double-commutator term is identified as a curvature-induced metric component generated by adjoint torsion.
This paper introduces a non-linear generalization of the classical DLR framework through -specifications and -equilibrium measures, establishing conditions for their existence and uniqueness while demonstrating that, unlike the classical case, multiple -equilibrium measures can coexist even in the one-dimensional Ising model at low temperatures.
This paper investigates M-theory compactifications on a seven-manifold with G₂ structure to characterize four-dimensional non-supersymmetric theories, demonstrating how G₂ and SU(3) torsion classes describe supersymmetry breaking and revealing that while U-duality may hold in the supersymmetric limit, it requires caution when applied to the resulting Type 0A and Type 0 heterotic theories.