3366 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 presents a unified free field realization of the Ding-Iohara algebra at arbitrary levels using six free boson fields, derived from a specialized factorization of the structure function, and subsequently develops intertwining operators based on this construction.
This paper generalizes the free field construction of Heterotic string models from Gepner points to all Calabi-Yau manifolds of Berglund-Hubsch type by utilizing the Batyrev-Borisov combinatorial approach to define vertex operators via Borisov differentials and derive particle spectrum representations directly from reflexive Batyrev polytopes.
This paper constructs a hierarchy of parameter-dependent commuting matrices derived from generalized Weyl's relations, linking them to integrable models and demonstrating their utility as Hamiltonians in Grover's quantum search algorithm that can achieve higher fidelity than standard approaches.
This paper presents a general construction of -extended conformal field theories and their orbifoldings by deriving -symmetry extended fusion rings and modular partition functions for nonanomalous subgroups, which provide fundamental algebraic data for symmetry topological field theories and describe charged or gapped domain walls and massless renormalization group flows via the folding trick.
This paper establishes the self-adjoint realization and a boundary resolvent formula for Stark Hamiltonians with -interactions supported on compact Lipschitz hypersurfaces, demonstrating that the essential spectrum remains regardless of the interaction strength due to the compactness of the resolvent difference.
This paper introduces an index-based tensorial framework that leverages the additivity of weights to provide a practical method for computing charge eigenvalues of arbitrary tensor representations in unitary gauge groups, with explicit applications demonstrated for SU(2), SU(3), and SU(5).
This paper presents a consistent kinetic modeling and discretization strategy using a double-distribution quasi-equilibrium approach that enables accurate, stable, and Galilean-invariant simulations of compressible flows across all Prandtl numbers and specific heat ratios, successfully recovering Navier-Stokes-Fourier physics for both moderate supersonic speeds and complex discontinuities.
This paper establishes that the Fourier coefficients of critical Gaussian multiplicative chaos on the unit interval decay faster than in probability for any , thereby extending recent work by Garban and Vargas.
This paper demonstrates that universal tomographic measurements induce decoherence which transforms arbitrary quasiprobability distributions into positive ones, thereby modeling the emergence of classicality and showing that the timescale for this process decreases as the Hilbert-space dimension increases.
This paper proposes an extension of standard quantum mechanics where Newtonian time is replaced by a stochastic "quantum clock," demonstrating that this substitution leads to a generalized evolution equation for the density matrix that recovers the von Neumann equation at the leading order while introducing higher-order corrections, including Lindblad-type terms, which are constrained by atomic clock precision limits.