2548 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 a hybrid approach that leverages asymptotic analysis to define an interpretable feature space for learning residual corrections via symbolic regression, thereby significantly improving the accuracy of resonance predictions in dispersive media for both single resonators and dimers.
This paper theoretically identifies symmetry-fixed holonomies that maximize spectral gaps for qubit and qutrit manifolds on square and hexagonal lattices, respectively, and proposes a quantitative spectroscopy experiment using an 8×8 microring lattice to realize these isolated manifolds with specific GHz-scale gaps.
This paper identifies and characterizes a non-Hermitian counterpart of dynamical tunnelling where a localized absorbing region in a symmetric potential induces a slow evolution toward equal population of two sides via long-lived states, a phenomenon demonstrated through continuous potentials, a minimal matrix model, and a proposed optical waveguide setup.
This paper defines a new family of Turaev-Viro type invariants for hyperbolic 3-manifolds with cusps using ideal - symbols and proves that their exponential decay rate is determined by the manifold's hyperbolic volume.
This paper provides a geometric description of nilpotent representations of equioriented cyclic quivers via an explicit bijection, deriving counting formulas and probability estimates over finite fields while also characterizing nilpotent semirepresentations over the Boolean semiring as directed acyclic graphs with associated recursive counts and asymptotic decay rates.
This paper proposes that Miura operators of -deformed - and -algebras correspond to R-matrices of the quantum toroidal algebra of , a connection physically realized through M2-M5 brane intersections in M-theory and verified via dual Type IIB gauge theory descriptions and $qq$-character constructions.
This paper introduces DODAG-X, a measurement-based routing protocol that utilizes a single pre-computed destination-oriented directed acyclic graph to significantly reduce the per-request routing complexity and measurement overhead for multiparty entanglement distribution in dynamic quantum networks while maintaining high reachability under link failures.
This paper derives exact formulas and analyzes the asymptotic distributions of a second class particle in the half-line open TASEP under two shock discontinuity initial conditions, utilizing the color-position symmetry theorem of colored half-space TASEP.
This paper provides a detailed derivation of conformal blocks for and Wess-Zumino-Witten models using their free-field representations, explicitly demonstrating the emergence of global $sl(2)$ and $sl(3)$ symmetries and verifying the Knizhnik-Zamolodchikov equations through double integral expressions.
This paper analyzes the asymptotic escape rate of non-uniformly expanding interval maps with a parabolic fixed point as a hole containing that fixed point shrinks, utilizing transfer operator techniques to generalize previous results to systems with both finite and infinite ergodic absolutely continuous invariant measures.