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 effective quenched linear response for non-uniformly expanding random dynamical systems with non-i.i.d. compositions, enabling the proof of parameter differentiability for the CLT variance and annealed linear response through applications to sufficiently mixing base maps and various one- and higher-dimensional examples.
This paper introduces a robust discrete formulation for computing the three-dimensional winding number of smooth maps to using -gaps, offering both a practical unmodified flux for fine grids and a modified flux that strictly guarantees integer quantization even in the presence of degeneracies.
This paper establishes a novel connection between topological entanglement and number theory by introducing a -deformed Witten zeta function within 3d Chern-Simons theory, demonstrating that the large- limit of Rényi entropies for torus link complements converges to values determined by classical Witten zeta functions, which admit a geometric interpretation via symplectic volumes of moduli spaces of flat connections.
This paper proves that single -weighted -Hurwitz numbers with internal faces, including monotone Hurwitz numbers and map enumerations on non-oriented surfaces, are computed by refined topological recursion on a rational spectral curve, thereby establishing that their generating functions analytically continue to rational curves and enabling the computation of correlators for Gaussian, Jacobi, and Laguerre -ensembles.
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).