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 derives a novel, local, and crossing-symmetric dispersion relation for 2-2 scattering amplitudes motivated by string theory, demonstrating its utility in bounding Wilson coefficients for gravitational effective field theories and providing convergent series representations for Veneziano, Virasoro-Shapiro, and multi-variable generalizations.
This paper proposes and rigorously establishes a symmetrization relation between 4d BPS quivers and 3d symmetric quivers, demonstrating that the wall-crossing structure of 4d Argyres-Douglas theories is isomorphic to the unlinking of their 3d counterparts and that these symmetric quivers successfully capture the Schur indices of the original 4d theories.
This paper constructs -symmetric conformal boundary states in the Wess-Zumino-Witten conformal field theory by embedding , identifies them as ground states of Affleck-Kennedy-Lieb-Tasaki spin chains within the integrable Uimin-Lai-Sutherland model, and analytically computes their boundary entropy using exact overlap formulas.
This paper employs combinatorial methods based on the tree-level effective action to provide an explicit proof of the covariance of on-shell connected functions and derive a closed formula for tree-level scattering amplitudes with any number of external legs, without relying on specific Lagrangian formulations.
This paper introduces and validates two new structure-preserving discontinuous Galerkin methods, SWIPD-L and SIPGD-L, for the Cahn-Hilliard-Navier-Stokes equations with degenerate mobility, demonstrating that they achieve optimal convergence, preserve key physical properties like mass conservation and energy dissipation, and offer significant computational savings on adaptive meshes compared to existing approaches.
This paper proves that max-LINSAT is tightly inapproximable within any constant factor beyond the random-assignment ratio under , a hardness threshold that coincides with the asymptotic performance limit of decoded quantum interferometry, thereby delineating the boundary between classical worst-case hardness and potential quantum advantage.
This paper derives characteristic identities for the split Casimir operator of the Lie algebra $so(2r)$ in spinor representations to construct invariant projectors, calculate colour factors for ladder Feynman diagrams in $Spin(2r)$ gauge theories, and obtain a new $so(2r)$-invariant solution to the Yang-Baxter equation.
This paper establishes the Drinfeld correspondence between Poisson Lie groups and Lie bialgebras in the infinite-dimensional setting, specifically extending the theory to regular Lie groups modeled on convenient vector spaces such as nuclear Fréchet and Silva spaces, with applications to loop groups and diffeomorphism groups.
This paper compares causal fermion systems, non-commutative geometry, and generalized trace dynamics, highlighting their shared recovery of fiber bundle structures in the continuum limit and identifying the encoding of spacetime relations via a generalized two-point correlator—replacing Synge's world function—as the key innovation that can be unified across all three frameworks.
This paper provides a rigorous construction of Dyson Brownian motion on a rectifiable Jordan curve and analyzes its fundamental properties, including the associated Fokker-Planck-Kolmogorov equation, convergence to the stationary Coulomb gas distribution, low-temperature large deviations, and the limiting McKean-Vlasov equation in the many-particle regime.