1605 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 constructs an equivariant quantum Satake map for Grassmannians to express their torus-equivariant quantum cohomology via a Clifford algebra structure, enabling new recurrence relations for Gromov-Witten invariants through Wick's Theorem and providing combinatorial proofs of Graham positivity for equivariant quantum Pieri rules.
This paper establishes an equivalence of balanced -tensor categories between the -equivariantization of the category of -twisted representations of a conformal net and the category of representations of its fixed-point net , thereby extending a known rational result to the non-rational case while preserving the balanced structure.
This paper demonstrates that for specific families of three-dimensional lens spaces, the second-jet equivariant invariant distinguishes between pairs that share identical ordinary values and vanishing first derivatives, thereby revealing a spectral distinction invisible to the standard invariant.
This paper derives an entropy-stable flux for the ultra-relativistic Euler equations by computing the main field and potentials, and validates the resulting Discontinuous Galerkin method through 2D and 3D simulations of radially symmetric problems involving shock waves and pressure blow-up.
This paper presents a constant-depth, topologically protected method for implementing logical gates at arbitrary levels of the Clifford hierarchy in 2D using non-Abelian surface codes based on the quantum double of a dihedral group, thereby bypassing the Bravyi–König theorem's limitations on Pauli stabilizer codes.
This paper derives the asymptotic radial wave function of the Brioschi-Halphen equation in terms of canonical polynomials and spherical functions on by employing point canonical transformations and Fourier transform methods to obtain distributional solutions.
This paper introduces the -generalized Yang--Baxter equation and its symmetric solutions via -generalized Hessian pre-Lie algebras, establishing a correspondence between factorizable solutions and generalized quadratic Rota--Baxter pre-Lie algebras while providing a structural classification of these algebras through central and double extensions.
This paper presents a systematic, data-free benchmark of eleven Physics-Informed Neural Network architectures for the stiff Poisson-Nernst-Planck system, demonstrating that the Balanced Residual Decay Rate (BRDR) strategy offers an optimal balance between accuracy and computational efficiency compared to other methods, while providing an open-source implementation for future research.
This paper characterizes the spectrum of time-harmonic Maxwell equations for a flat interface separating two half-spaces filled with non-homogeneous, dispersive media by analyzing fundamental solutions and applying Floquet theory to distinguish between radiation modes away from and along the interface.
This paper investigates Rényi multi-entropies in random tensor networks, proving that for these quantities are determined by minimal multiway cuts while demonstrating that this minimal cut conjecture generally fails for integer .