1695 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 proposes two distinct definitions for the Hasse-Witt invariant of Calabi-Yau varieties—one utilizing the Cartier operator and the other based on Calabi-Yau modular forms—conjectures their equivalence, and supports this hypothesis with numerous examples.
This paper derives exact, convergent representations for multiloop sunset Feynman integrals in two dimensions with arbitrary masses and all loop orders, utilizing symmetric polynomials and dimension-raising relations to facilitate high-precision numerical evaluation and the systematic reconstruction of four-dimensional results.
This paper extends the Lieb–Thomas strategy to prove that the ground-state energy of fermionic Fröhlich multipolarons in the strong coupling limit is accurately approximated by the corresponding Pekar–Tomasevich energy, even under general external electric and magnetic fields, by incorporating fermionic statistics via a localization method and relaxing prior constraints on field regularity.
This paper introduces a morphism of spectral triples that links twisted and pseudo-Riemannian frameworks, demonstrating how a unitary operator implementing a twist can induce local signature changes in even-dimensional manifolds through its relationship with the Krein product and parity operator.
This paper demonstrates that the bulk eigenvectors of two deformed Wigner matrices become asymptotically orthogonal and exhibit small quadratic forms with deterministic matrices when their perturbations are sufficiently distinct, thereby generalizing the Eigenstate Thermalization Hypothesis to eigenvectors from different spectral families.
This paper analytically determines the exact critical exponents and for the Motzkin and Fredkin chains by utilizing a transfer matrix derived from their matrix product state representation combined with renormalization group analysis, thereby overcoming previous limitations in characterizing their exotic quantum phase transition.
This paper introduces a novel on-shell recursive framework for biadjoint and pure Yang-Mills theories, derived from double-cover CHY factorization, which reconstructs amputated currents and reformulates BCJ numerators into an explicitly on-shell factorized form.
This paper introduces a Jeffrey--Kirwan residue contour integral formalism that unifies the computation of K-theoretic equivariant Pandharipande--Thomas and Donaldson--Thomas 4-vertices by varying the reference vector, while also exploring their correspondence and generalizations in the context of 4-folds.
This paper introduces quantum corner polynomials as a generalization of Sergeev-Veselov super Macdonald polynomials, establishes their correspondence with quantum corner vertex operator algebras, and provides a rigorous proof of their partial symmetricity.
This paper establishes a physical and topological correspondence between dynamical stabilizer codes and non-invertible symmetries in 4+1-dimensional 2-form gauge theories, mapping measurement sequences to symmetry fusions and error detectors to endable surface operators to provide a unified framework for understanding fault tolerance and recovering spacetime stabilizer codes.