2548 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 a canonical order isomorphism between normal completely bounded maps and the predual of a spatial tensor product for arbitrary von Neumann algebras, demonstrating that a Choi–Jamiołkowski-type correspondence requires an anti-isomorphism of the target algebra and proving that such a natural correspondence fails for Connes' type III factors.
This paper develops a systematic adiabatic perturbation theory for the integrable spinor nonlinear Schrödinger equation with nonvanishing boundary conditions by formulating the evolution of discrete spectral data and soliton parameters within the Riemann–Hilbert framework, yielding a closed dynamical system that describes the slow modulation of soliton characteristics, including a unique internal polarization state, under small perturbations.
This paper proves that the spherical pure -spin glass model does not exhibit shattering for overlaps below a specific threshold and for all inverse temperatures up to and including the dynamical temperature, thereby partially resolving a conjecture by Ben Arous and Jagannath through a combination of deterministic bounds, sign laws, and spherical-code obstructions.
This paper initiates the study of four-point correlation functions in four-dimensional conformal field theories and AdS by developing a symplectic bi-Grassmannian framework and twistor formalism that yield remarkably simple rational expressions for various particle exchanges, including an elegant extension to supersymmetry.
This paper establishes a non-perturbative classical double copy correspondence between quartic biadjoint scalar theory, complexified Yang-Mills theory, and four-dimensional general relativity with conformally flat metrics, demonstrating that all three theories share a common scalar seed and identical nonlinear equations of motion under specific ansatz restrictions.
This paper presents a mathematically rigorous course on classical and quantum entropies, deriving them from probability theory, large deviation principles, and statistical hypothesis testing, while utilizing advanced frameworks like von Neumann algebras and modular theory to define relative and dynamical entropies for theoretical physicists.
This paper extends the correspondence between Type IIB branes and Ding-Iohara-Miki algebra representations to include branes spiraling around a compactified circle, revealing that such configurations generate new intertwiners yielding the K-theoretic vertex function for sheaves on and Shiraishi's non-stationary elliptic Ruijsenaars wavefunctions.
Using a high-accuracy numerical strategy, this paper reports the discovery of 10,059 previously unknown three-dimensional periodic orbits for the general three-body problem, including 1,996 linearly stable ones and novel "piano-trio" and "choerographical" configurations, thereby providing new insights into the chaotic properties of the system.
This paper investigates radially symmetric 2D Coulomb gas systems at inverse temperature where the equilibrium density vanishes on an interior ring, revealing a novel term in the partition function's large- expansion and deriving a new limiting correlation kernel distinct from the Ginibre kernel under a specific double scaling limit.
This paper presents a fully discrete, non-perturbative formulation of Jackiw-Teitelboim gravity as an BF theory, demonstrating that all physical information resides at the boundary through the derivation of asymptotic symmetries, the establishment of a continuum OPE dictionary, and the reproduction of Bekenstein-Hawking entropy via gauge-invariant holonomy data without invoking an explicit Schwarzian action.