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 rigorous proof for the convergence of the renormalization group flow of the non-critical nearest-neighbour Ising model to trivial fixed points by utilizing a random cluster representation to relate the flow's scaling limit to a simple one-dimensional dynamical system.
This paper unifies emergent gravity and topological T-duality within the framework of generalized geometry by formulating emergent gravity on exact Courant algebroids, demonstrating that T-duality acts as a transformation exchanging the order of gauge-field deformations and diffeomorphisms while revealing how dual backgrounds with nontrivial H-flux necessitate an extension to non-exact Courant algebroids.
This paper demonstrates that interval partition functions in three-dimensional theories can be factorized into sums of products of hemisphere partition functions with Wilson loop insertions, a result explicitly proven for supersymmetric quantum electrodynamics and Chern-Simons-Yang-Mills theories where the gluing factors are interpreted via partition functions or affine characters.
This paper proposes that the algebra of line operators in 4d N=4 supersymmetric Yang-Mills theory and its associated (p, q) string networks can be interpreted as a tensor product of vector representations of a quantum toroidal algebra, where wall-crossing phenomena and the Kontsevich-Soibelman spectrum generator are identified with Drinfeld twists and the Khoroshkin-Tolstoy universal R-matrix, respectively.
This paper demonstrates that the resonant Pais-Uhlenbeck oscillator yields inequivalent quantum theories depending on the chosen Hamiltonian formulation, revealing a hidden $su(2)$ spectrum-generating algebra in the non-diagonalisable "ghostly" case while producing a fully diagonalisable spectrum in an alternative formulation.
This paper evaluates various pathological continuity notions that render all additive functions continuous to identify a bilateral Q-continuity as the most robust candidate, thereby offering insights into the axiomatic foundations of mechanics and the potential existence of "exotic" physical models that retain a weak form of continuity.
This paper establishes the integrability of a variable-mass sine-Gordon model with point defects by constructing defect matrices and conserved charges, analyzes soliton transmission and topological conversion through analytical and numerical methods, and demonstrates how deforming integrable conditions leads to quasi-conservation laws with potential applications in nonlinear physical systems.
This paper rigorously proves the absence of nontrivial local conserved quantities in a specific class of -symmetric spin-1 chains, including the periodic Motzkin chain, demonstrating that their spontaneous symmetry breaking arises from frustration-free structures rather than the existence of conserved order parameters.
This paper demonstrates that matrices constructed with only independent random variables can have empirical spectral distributions arbitrarily close to the semi-circular law, challenging the conventional view that such a distribution requires independent entries.
This paper reformulates four-dimensional chiral gravity using a soldered chiral superconnection to derive Einstein–Cartan–Holst gravity with a cosmological term, while introducing a spinorial BF-type term to generate propagating fermions that couple to torsion.