1668 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 introduces first-order noncommutative corrections to Einstein-nonlinear electrodynamics using a Drinfel'd twist and Seiberg-Witten map, deriving perturbative solutions for static, spherically symmetric dyonic black holes that account for both intrinsic electromagnetic nonlinearity and noncommutative geometric effects.
This paper establishes the equivalence between generalised Schur partition functions of 4d $USp(2N)$ gauge theories and vector-valued modular forms by proving they satisfy specific modular linear differential equations, while also proposing extensions and conjectures linking these functions to quantum monodromy traces and 2d rational conformal field theory characters.
These lectures explore two correspondences between gauge theories and integrable many-body systems, linking gauge-theoretic dynamics to Calogero–Moser-type systems through infinite-dimensional Hamiltonian reduction and supersymmetric instanton counting, with a focus on SU(N) theories across dimensions one to six.
This paper establishes that for continuous actions of locally compact amenable groups on compact metrizable spaces with finite topological entropy, an ergodic measure is a thermodynamically realizable equilibrium state if and only if the entropy map is upper semicontinuous at that measure, thereby characterizing unrealizable phases as those hidden behind the convex envelope of the free energy and correcting previous results regarding equilibrium face realization.
This paper demonstrates that a single scalar function, derived from the analytically continued membrane-paradigm pressure of the Kerr-Newman black hole, serves as a unified global detector that simultaneously encodes the locations of all critical geometric surfaces—including horizons, stationary limits, singularities, and asymptotic infinity—while also admitting an interpretation as a generalized van der Waals equation of state.
This paper investigates log-weighted quadrature domains (LQDs) defined by a singular weight, establishing a generalized Schwarz function characterization, proving that simply connected LQDs correspond to Riemann maps whose outer factors are exponentials of rational functions, and providing explicit formulae linking quadrature functions to Riemann maps via the Faber transform.
This paper employs augmented dimensional analysis to mathematically validate conjectures by Sun and Semay regarding the periods of Newtonian orbital and quantum-theoretical n-body systems, while simultaneously ruling out several alternative generalizations.
This paper proposes a unified framework that resolves the tension between entropy growth and the emergence of complex structures by demonstrating how coarse-grained spatial ordering can coexist with increasing phase-space complexity through a geometric transport approach that links deformation tensors, nonlocal interactions, and Landau--Ginzburg self-organization, with applications extending from cosmological structure formation to broader mesoscopic systems.
This paper analyzes the eigenvectors of inhomogeneous random graphs with bounded degree sequences, demonstrating that they exhibit semilocalization near the spectral edges and full localization at the extremal eigenvalues by employing a novel pruning procedure to compare the graph's adjacency matrix with local random tree couplings.
This paper establishes the mathematical foundation for Topological Elliptic Genera, which are homotopy-theoretic refinements of elliptic genera for $SU$-manifolds taking values in -equivariant Topological Modular Forms, and demonstrates their utility by deriving a new divisibility result for the Euler numbers of $Sp$-manifolds.