2619 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 utilizes diffeology to rigorously construct and generalize I.M. Singer's universal connection, establishing a categorical equivalence between the holonomy category and the category of diffeological bundle-connection pairs, thereby enabling the reconstruction of principal bundles with connections from their holonomy representations.
This paper proposes a framework using smeared boundary conformal field theories to characterize gapped phases and massive renormalization group flows dual to massless ones, revealing that such phases often involve unphysical smeared Ishibashi states and spontaneously break non-invertible symmetries, thereby providing a quantum field-theoretic description of unusual order-disorder coexistence.
This paper presents a constrained Hamiltonian formulation of a specific supersymmetric KdV equation (with parameter ) using the Dirac-Bergmann algorithm, revealing a unique nonlocal contribution to the Hamiltonian density arising from fermionic consistency conditions and demonstrating the equivalence between the derived Hamiltonian dynamics and the component-form supersymmetric KdV system.
This paper reveals a multiscale structure in the eigenstate thermalization hypothesis by demonstrating that the statistical properties of matrix elements in macroscopic systems depend not only on macrostate parameters but also on the fluctuation scale of the sampling ensemble, leading to non-analytic, scale-dependent algebraic exponents.
This article derives bosonization identities for the scaling limits of critical correlations of the Ising model on finitely connected planar domains by expressing them through correlations of a compact Gaussian free field and explicit geometric data, employing a boundary case of the Hejhal-Fay identity and operator product expansions.
This article shows that 1D translation-invariant Gibbs states exhibit superexponentially decaying conditional mutual information (defined via the Belavkin-Staszewski relative entropy), which enables the efficient construction of tensor network approximations as well as the learning of classical representations from local measurements with polynomial sample complexity.
Inspired by Taubes' work on Yang-Mills-Higgs vortices, this paper demonstrates that the moduli space of the Hitchin-type dimensional reduction of the Seiberg-Witten equations on the plane is non-empty and contains both exponentially decaying and polynomially growing solutions.
This paper establishes a geometric correspondence between the Schwarzian action, the length and area of Epstein curves in the hyperbolic disk, and renormalized volumes in hyperbolic space, thereby providing new proofs for the non-negativity of the Schwarzian action and extending these holographic identities to higher-order coadjoint orbits.
This article establishes the operator product expansions for derivative fields in the Sine-Gordon model below the collapse threshold and proves that these expansions exhibit logarithmic singularities and generate Wick-ordered exponential functions by exploiting Onsager-type inequalities and moment bounds for correlations of the Gaussian free field.
This article investigates whether the teleparallel equivalent of general relativity (TEGR) can be formulated as a gauge theory on principal fiber bundles by analyzing how the treatment of the non-dynamical teleparallel connection as either an absolute element or a non-absolute structure determines whether the gauge group of the theory is a subgroup of or the entire diffeomorphism group.