3210 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 demonstrates that two prominent proposals for extending invariants to positive definite plumbed 3-manifolds are generally incompatible on Brieskorn homology spheres, as revealed by their conflicting predictions for the effective central charge , which serves as a sensitive probe for the consistency of the theory's "positive side."
This paper establishes a tropical geometry framework for computing genus-0, Neveu-Schwarz marked super Gromov-Witten invariants of convex toric varieties by defining a procedure to calculate the tropical inverse Euler class of the SUSY normal bundle, thereby recovering known point invariants and explicitly computing an example for .
This paper establishes that specific dissipative bosonic dynamics, including those relevant to cat codes, exhibit instantaneous Sobolev regularization that immediately maps any initial state to one with finite moments of the number operator, thereby providing sharper analytic estimates for convergence and error suppression in bosonic quantum information processing.
This paper establishes that polyconvexity implies true-stress-true-strain monotonicity in incompressible isotropic hyperelasticity, a finding used to design and calibrate four physics-augmented neural network architectures that reveal significant differences in extrapolation performance despite satisfying identical constitutive constraints.
This paper classifies all order-two T-duality orbifolds on the SO(12) lattice at the free fermionic point of type II string theories, presenting their parametric spectra, identifying minimal Hodge numbers and orientifoldable configurations, and arguing that the appearance of spin-3/2 states in twisted sectors necessitates a supersymmetric vacuum with vanishing energy.
This paper establishes that a smooth manifold can be partitioned into Riemannian and Lorentzian regions connected by a signature-changing hypersurface if and only if a specific relative Euler class obstruction vanishes, thereby defining precise topological selection rules for such geometro-topological continuations.
This paper provides a unified analytic and numerical description of the Christ--Lee kink's fluctuation spectrum and one-loop quantum mass across all deformation parameters by reducing the fluctuation equation to the general Heun form, revealing how the kink's geometric transition from a single interface to a double-well structure governs the emergence of threshold hierarchies, bound-state counts, and logarithmically enhanced quantum corrections.
This paper introduces a scalable Hamiltonian learning protocol for geometrically local many-body systems that achieves Heisenberg-limited precision using only static single-qubit fields to generate emergent prethermal symmetries, thereby eliminating the need for trusted multi-qubit operations or rapid control pulses.
This paper demonstrates that the noncommutative second Chern number of a D disordered axion pump remains quantized well into the mobility-gap regime beyond global spectral gap closure, whereas the Středa-Hall response rapidly fails, thereby establishing a robust distinction between true bulk topological protection and finite-size artifacts.
This paper constructs a graded Lie algebra structure on cyclically skew-symmetric cochains to characterize double Lie algebras and their cohomologies, demonstrating that these cohomologies are isomorphic to the cyclic cohomology of the associated descendent associative algebra via a correspondence with skew-symmetric Rota-Baxter operators on symmetric Frobenius algebras.