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 classifies the central extensions of the dg Lie algebra of derived global sections of the tangent sheaf on the punctured formal d-disk for dimensions greater than two and establishes a local, universal form of the Grothendieck-Riemann-Roch theorem for families of d-dimensional complex varieties.
This paper establishes a connection between generalized two-dimensional XY models and height function models to prove that the delocalization of the height function precludes exponential decay of the nematic order parameter, thereby generalizing previous results and confirming the existence of a nematic region in these systems.
This paper generalizes the tube algebra framework to codimension-2 defects in (2+1)D topological phases by introducing defect tube algebras as comodule algebras over weak Hopf tube algebras, thereby characterizing boundary and domain wall defects through their representations and extending the structure to multicomodule algebras for higher-order junctions.
This paper proposes a unified, latent flow-matching framework for multimodal atmospheric data assimilation that leverages a prior trained on ERA5 reanalysis to generate temporally consistent full-state trajectories, enabling flexible filtering, smoothing, and competitive ensemble forecasting from sparse observations.
This paper investigates how the geometry of a bilayer graphene quantum ripple and orbital angular momentum influence electronic states, modeled by a spinless electron constrained to the surface via the Da Costa potential.
This paper investigates the complex and symplectic elliptic Ginibre ensembles conditioned on a deterministic eigenvalue, explicitly characterizing the three possible topological phases of their limiting spectrum within the parameter space of the charge location, multiplicity, and non-Hermiticity, while also deriving the asymptotic behavior of the characteristic polynomial's moments.
This paper proposes a probabilistic construction of non-compactified imaginary Liouville Field Theory based on a real Gaussian Free Field, demonstrating through exact results and numerical simulations that it reproduces the imaginary DOZZ structure constants without requiring a neutrality constraint.
This paper establishes geometric characterizations and uniqueness results for 3-dimensional asymptotically locally hyperbolic static vacuum black holes by developing a new monotone quantity and regularity theorem for inverse mean curvature flow, which are used to prove rigidity theorems, support a Chang-Yang-Zhang conjecture, and verify a reverse Riemannian Penrose inequality.
This paper refines the concept of "molecular chaos" by employing algorithmic randomness to provide a precise criterion for individual microscopic trajectories to generate irreversible macroscopic behavior, demonstrating its efficacy through the Ehrenfest urn and Kac ring models while highlighting the inherent impossibility of explicitly constructing such random trajectories due to Chaitin's incompleteness theorems.
This paper proposes and analyzes a second-order accurate, symmetric three-layer semi-discrete time-stepping scheme combined with a Legendre-Galerkin spectral method to efficiently solve the abstract nonlinear Timoshenko model, demonstrating its convergence and validating the approach through numerical experiments.