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 introduces a Super-Grassmannian formalism for to $4$ three-dimensional superconformal field theories that makes super-conformal and -symmetry constraints manifest, successfully reproducing AdS correlators and demonstrating a direct connection to flat-space SYM scattering amplitudes through a specific CPT self-conjugate super-operator construction.
This paper investigates the vacuum-induced current density of a charged scalar field in a -dimensional cosmic dispiration spacetime threaded by a magnetic flux, demonstrating that the helical geometry of the defect generates both azimuthal and axial current components that are periodic in the magnetic flux and significantly influenced by the screw dislocation parameter.
This paper establishes the ODE/IM correspondence for the affine Lie algebra by demonstrating that the period integrals of the WKB expansion of the associated ordinary differential equation match the eigenvalues of the integrals of motion in the corresponding conformal field theory up to the sixth order.
This paper investigates the deformation of the Szegő curve through electrostatic, hydrodynamic, and random matrix models, demonstrating that the curves' Schwarz functions are expressible via the Lambert function and that their -property corresponds to Schwarz reflection symmetry, all within the context of the asymptotic zero distribution of scaled Laguerre polynomials in a critical regime.
This paper introduces a versatile, open-source numerical library that utilizes a 4D phase-space Wigner-Weyl formulation with a spectral splitting method to simulate the quantum dynamics of two-level particle gases across diverse fields ranging from nanomaterials to topological superconductors.
This paper constructs unitary dual 2-cocycles and associated Kohn–Nirenberg quantizations for a class of semidirect product groups, including the affine group and Lie groups with Frobenius seaweed Lie algebras, by leveraging their double crossed product structure and a scalar Fourier transform that intertwines regular representations with dressing transformations.
This paper establishes the mathematical framework of minimal sufficient Jordan algebras to characterize the interconversion of quantum statistical experiments via positive, trace-preserving maps, demonstrating that equality in data-processing inequalities implies the existence of recovery maps and that dichotomy interconversion is equivalent under positive and decomposable maps.
This paper establishes that discrete harmonic morphisms provide the minimal condition for exact random walk projection during network renormalization, introducing a "harmonic degree" metric to evaluate how well various coarse-graining methods preserve dynamical invariants and revealing that Laplacian renormalization can spontaneously achieve exact dynamical preservation in real-world networks.
This paper provides a structural explanation for the success and failure of the Bethe Ansatz by identifying interaction propagation as the governing mechanism, where exact solvability arises when propagation terminates finitely without encountering structural boundaries, while its breakdown occurs when such boundaries generate irreducible interaction data that prevent finite factorization.
This paper establishes a direct link between statistical mechanics and the Atiyah-Singer index theorem by demonstrating that the partition function of the quantum harmonic oscillator acts as a Chern character for a "virtual physical sheaf," thereby revealing spectral asymmetry and topological structure in bosonic quantum systems.