1647 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 non-perturbative definition for topological string partition functions on Calabi-Yau threefolds by expressing them as products of resolved conifold partition functions weighted by sheaf invariants, enabling the computation of Borel sums and Stokes jumps that constitute non-perturbative corrections dependent solely on genus zero Gopakumar-Vafa invariants.
This paper introduces right-invariant Poisson-Nijenhuis structures on Lie groupoids and their infinitesimal counterparts on Lie algebroids, establishing a one-to-one correspondence between them under specific conditions while providing illustrative examples.
This paper presents the first exact solution for the full counting statistics of current in a diffusive quantum many-body system by deriving a Fredholm determinant representation for a tight-binding chain with dephasing noise, thereby demonstrating that both the cumulant generating function and large-deviation function exhibit diffusive scaling consistent with experimental measurements.
This paper develops a framework using analytic superspace and SU(m,m|2n)-covariant differential operators to construct superconformal blocks for general supermultiplets in 4D N=2 and N=4 theories, enabling the derivation of all such blocks from known half-BPS cases and advancing the conformal bootstrap in supersymmetric settings.
This paper introduces a generalized -algebra rooted in a unified nonadditive entropic functional , which extends existing statistical mechanics frameworks to handle complex systems with diverse microscopic state growth laws by combining -deformations and power-law logarithmic modifications.
This paper constructs a dyadic microlocal partition adapted to position-dependent fiber metrics to establish finite-seminorm estimates and Weyl quantization bounds, ultimately applying these tools to parametrix constructions and the Radon transform.
This paper proposes a unified algebraic mechanism within almost-commutative geometry that demonstrates how Lorentzian structures can emerge from a purely Riemannian setting via twisted spectral triples, offering an alternative to Wick rotation for addressing the Lorentzian signature problem in the noncommutative Standard Model.
This paper establishes the mathematical conditions for the existence and uniqueness of solutions when optimizing the nonadditive entropy under a generalized energy constraint, proving that only specific constraint forms yield -exponential distributions while demonstrating that the linear constraint case () preserves thermodynamic laws and effectively models complex systems ranging from many-body Hamiltonians to edge-of-chaos dynamics.
This paper establishes a concrete correspondence between Picard-Lefschetz theory and alien calculus by explicitly comparing Lefschetz thimble wall-crossing with Borel singularity analysis in three fundamental one-dimensional exponential integrals: the Airy, Bessel, and Gamma models.
This paper presents an exact analytical solution for an ideal one-dimensional electron gas confined in an anisotropic oscillator-shaped quantum wire with position-dependent effective mass, deriving wavefunctions and energy spectra via both canonical and non-canonical approaches using Laguerre and Gegenbauer polynomials.