3239 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 extends the integrability-preserving renormalization-group (RG) protocol to non-Hermitian quantum systems with time-dependent interactions, demonstrating that the set of such integrable models is broader than the standard RG trajectories because it also includes specific time-dependent forms for RG-invariant couplings.
This paper revisits the Moore-Read construction of Laughlin states on compact Riemann surfaces by deriving their conformal blocks from Chern-Simons theory, computing explicit monodromies for quasi-hole transport and flux insertion, and demonstrating how these results recover classical Hall conductance values while connecting to modern algebro-geometric approaches.
This paper establishes that a conservation law of integer phase charge in squeezed-light reservoirs fundamentally limits their computational expressivity and readout cost, demonstrating that detector constraints rather than optical nonlinearity dictate which functionals can be efficiently computed.
This paper proves that Brownian motion conditioned on a time-average constraint for a confining potential converges locally to a ground-state diffusion, providing sharp asymptotics for the conditioning probability and resolving a conjecture by extending previous one-dimensional results to arbitrary finite dimensions and various reversible Markov processes.
This paper constructs nonunitary 2d gauged linear sigma models with supergauge groups to establish super-Grassmannian generalizations of key mathematical correspondences, including Calabi-Yau/Landau-Ginzburg dualities, birational equivalences via flop transitions, and homological projective dualities via conifold transitions.
This paper demonstrates that for Abelian Chern-Simons topological orders, torus Berry matrices uniquely determine the all-genus extended topological quantum field theory by reconstructing the underlying finite quadratic module and enabling the recovery of the Abelian fusion algebra through nearest-row decoding.
This paper establishes that the doubled correlation functions of primary fields in the near-critical two-dimensional Ising model with plus boundary conditions are equivalent to those of the sine-Gordon model at the free fermion point, thereby proving a specific instance of bosonization through the analyticity of massive holomorphic functions and a controlled iterated Mayer expansion.
This paper establishes a diffeological framework for the geometry of Euler–Reynolds subsolutions by constructing a limit space with intrinsic tangent vectors that satisfy distributional linearized equations, thereby distinguishing observable perturbations from hidden stress-gauge directions and characterizing deviatoric stress tensors through finite-mixture models.
This paper computes the Cheeger constant for curved tubes in real space forms of arbitrary dimensions by establishing matching upper and lower bounds through Fermi coordinates and a calibration-type argument, while also proving the non-existence of finite-volume Cheeger sets for unbounded tubes in noncompact space forms.
This paper develops a real twistor-space formulation for four-dimensional CFT correlators by expressing conformal generators and little-group constraints in ambitwistor space, solving for parity-even and odd structures, and establishing connections to Grassmannian and massive twistor formulations to recover physical position-space correlators.