3210 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 investigates supersymmetric semi-infinite cohomology and its superconformal structure by applying BRST reduction to an superconformal structure on a super-affine vertex algebra derived from a super Manin pair, thereby realizing super coset models through relative supersymmetric semi-infinite cohomology.
This paper establishes a Central Limit Theorem for differential observables of stationary lattice fields on a discrete torus, proving their convergence to a centered Gaussian random distribution in a negative Sobolev space under spectral and cumulant conditions, with applications to the gradient of the Gaussian Free Field and high-temperature Ising and Potts models.
This paper develops a covariant Euler-Poincaré reduction framework for field theories on principal bundles with centered semidirect product structure groups, deriving reduced field equations and conservation laws that separate left and right geometric contributions, and applying the theory to matrix microstructural models and second-order jet groups to reveal new dynamical behaviors and exact solutions.
This paper develops a unified theory of stabilizer codes over general phase spaces involving qudits, oscillators, and rotors by modeling their stabilizer groups as generalized lattices, enabling the construction of irreducible hybrid codes, the derivation of logical operators and Clifford gates via symplectic duality, and the formulation of error-correcting metrics that generalize known results for Pauli and GKP codes.
This paper explores two physical consequences of the topological classification of two-dimensional free lattice Fermi seas on flat orbifolds: the emergence of anisotropic Friedel oscillations that reveal lattice symmetries in the spatial density, and a geometric correspondence linking momentum-space packing to electrical conductivity via an isoperimetric parameter.
This paper proposes a foundational reinterpretation of quantum dynamics where a logical bipartition between Boolean classical environments and non-Boolean quantum systems leads to the derivation of Planck's constant () from the discrete temporal structure of an ideal classical clock, offering a novel solution to the measurement problem without hidden variables.
This paper proves that for the nearest-neighbor antiferromagnetic Ising model on (), the Gibbs state is non-unique for any inverse temperature exceeding the zero-field critical value , provided the uniform external field is sufficiently small, thereby extending Dobrushin's 1968 result from large to the entire supercritical regime.
This paper theoretically demonstrates the existence of surface-pinned, nonsingular topological defects in the electric and Poynting vector fields of plasmonic objects under specific polarization conditions, which arise from exact Maxwell boundary conditions and exhibit unique behaviors such as charge-conserving bifurcations and contraction under loss.
This paper proves that the Sachdev-Ye-Kitaev (SYK) model admits a quantum Gibbs sampler with a system-size-independent spectral gap at high temperatures, enabling the polynomial-time preparation of its Gibbs states on a quantum computer by utilizing a novel pseudo-Lindbladian approach and a comparison to classical dynamics.
This paper establishes a criterion for the irreducibility of Verma modules over symmetrizable Kac-Moody superalgebras by utilizing the Weyl-Kac denominator identity.