2656 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 the ODE/IM correspondence between the linear problem of the supersymmetric affine Toda field equation for the twisted affine Lie superalgebra and 2d superconformal field theories by deriving WKB periods up to tenth order and verifying their agreement with the eigenvalues of local integrals of motion in the Neveu-Schwarz sector up to sixth order.
This paper establishes the first proof of nonlinear Landau damping for charged self-interacting plasmas in an expanding Newtonian cosmological setting, demonstrating that charge density contrasts decay superpolynomially for small Gevrey-class perturbations when the scale factor grows as with .
This paper corrects the subleading coefficient in the regular-center Frobenius expansion for static tidal perturbations of relativistic stars and extends the even-parity master equation to Schwarzschild-de Sitter backgrounds, demonstrating that while the corrected coefficient alters initial data, it does not affect the extracted Love number .
This paper presents a reduced analytical model based on a conservation law approach that successfully predicts quantitative blocking thresholds for two-dimensional bistable reaction-diffusion fronts navigating geometric obstacles, including conical regions and checkerboard patterns, by linking the reaction term's integral to an effective driving force.
This paper presents a mathematically rigorous quantum algorithm that estimates the free energy and Gibbs state of interacting quantum Coulomb gases and molecules in finite dimensions by combining finite-rank interaction truncation with a quantum Gibbs sampling scheme that guarantees exponential convergence via a strictly positive spectral gap.
This paper demonstrates that -Hurwitz numbers with rational weights arise as explicit limits of Whittaker vectors for type -algebras, thereby generalizing previous results, providing a geometric interpretation via generalized branched coverings, and establishing that classical hypergeometric Hurwitz numbers are governed by Eynard-Orantin topological recursion.
This paper presents a novel, compact QUBO encoding method for cryptographic algorithms that significantly reduces the number of logical variables and coefficient magnitudes compared to previous approaches, thereby increasing the vulnerability of systems like AES-256 to future quantum annealers.
This paper introduces the HZ character expansion for HOMFLY-PT polynomials to identify factorisability conditions based on hook-shaped Young diagrams, constructs an infinite family of HZ-factorisable hyperbolic knots as extensions of torus knots, and conjectures a decomposition of non-factorisable HZ functions into sums of factorised terms.
This paper proposes a non-integer-dimensional model for anisotropic solids using q-deformed derivatives inspired by Tsallis statistics to derive thermodynamic properties that accurately match experimental data while linking the deformation parameter to microscopic disorder and memory effects.
This paper establishes the connection between previously constructed non-perturbative mean-field trivial solutions of the four-dimensional theory and perturbation theory by demonstrating that, with an UV cutoff, the renormalized perturbation series is locally Borel-summable and asymptotic to the exact non-perturbative solution.