1694 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 derives decomposition formulas for supercharacters of quantum affine ortho-symplectic superalgebras and twisted quantum affine superalgebras via a folding procedure applied to supercharacters, ultimately providing explicit character formulas for Kirillov-Reshetikhin modules that confirm a conjecture based on Bethe ansatz analysis.
This paper establishes that ergodic quantum spin systems with random local interactions always possess disordered ground states in the thermodynamic limit sharing the system's symmetry, a result derived using almost-sure disordered Lieb-Robinson bounds and new measure-theoretic tools, which further implies the deterministic nature of the associated GNS Hamiltonian spectrum.
This paper demonstrates that in the high-dimensional Bayes-optimal setting, the information-theoretic limits of symmetric matrix factorization with a sublinear-rank signal () are identical to those of the standard rank-one spiked Wigner model, a result established through a novel multiscale cavity method.
This paper demonstrates that the 1976 work of Gorini, Kossakowski, and Sudarshan provides the foundation for a generalized Choi isomorphism, which is then applied to compute the GKS matrix for the time evolution of general open quantum systems up to second order in time.
This paper establishes that manifolds with uniformly bounded geodesic return times or analytic metrics share the compactness and finite fundamental group properties of manifolds by demonstrating that such manifolds arise as Cauchy surfaces of observer-refocusing spacetimes, thereby linking their topological constraints to Lorentzian refocusing phenomena.
This paper establishes that the complexification of real Lie algebras provides the mathematical framework necessary to derive the irreducible representations of the proper Lorentz group, thereby demonstrating how the group's algebraic structure fundamentally determines the physical nature of matter and fields in the universe.
This paper reviews optimal asymptotic expansions of correlation functions and observables for Gaussian ensembles in random matrix theory while introducing a related line of ongoing research.
This paper demonstrates that the generalised Born rule and a rigorous identification between scalars and probabilities can be derived from fundamental principles by showing that any process theory satisfying basic compatibility axioms is equivalent to one where the rule holds, with the introduction of noise further strengthening this identification to a semiring isomorphism.
This paper introduces a novel numerical bootstrap framework based on moment observables that provides rigorous bounds on conformal field theory spectra, revealing new continuous families of kinks and spectral reorganizations across dimensions that are difficult to access with traditional methods.
This paper derives and establishes the well-posedness of nonlinear Kirchhoff-Love shell models based on the Ciarlet-Geymonat energy by combining asymptotic reduction with Simpson's quadrature to ensure lower semicontinuity, ultimately proving the existence of minimizers through polyconvexity arguments that account for both material properties and initial geometry.