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 establishes a rigorous non-perturbative closure for 3D field theory by generalizing the Stroh formalism and Barnett-Lothe invariants to quantum Hilbert space, deriving an exact symplectic bootstrap equation that yields the anomalous dimension and unifies results across dimensions from 2D to 4D.
This paper demonstrates that in the incompressible two-dimensional case, both Legendre-Hadamard ellipticity (rank-one convexity) and polyconvexity imply Hill's inequality, thereby clarifying the intimate connections between these previously considered independent constitutive conditions.
This paper introduces post-Carroll transformations and their associated algebras, including the central-charge-extended Carroll-Bargmann and Carroll-Schrödinger algebras, to construct conformal field theories and derive their two-point functions, revealing a dimensional dependence where both electric and magnetic sectors exist in 1+1 dimensions but only the magnetic sector survives in higher dimensions.
This paper provides a geometric interpretation of the pole-zero formalism for characterizing the topology of inversion-symmetric one-dimensional periodic media by demonstrating that the associated invariant arises from the monodromy of a Real eigenline bundle constructed on the universal covering of the Brillouin circle.
This paper establishes a nonlinear graviton theorem for higher-spin self-dual gravity by demonstrating that small deformations of the complex structure in non-projective twistor space generate an infinite-dimensional manifold of holomorphic planes, which encodes solutions to the theory and reveals its integrability through a Lax pair.
This paper demonstrates both analytically and numerically that adding a third fluctuating species to a two-population neuronal model can either enhance or suppress noise-induced quasi-cycles, thereby offering an extended framework for studying synchronization beyond the traditional Kuramoto setting.
This paper demonstrates that, unlike in classical fluid dynamics where shock profiles are monotone, relativistic pure-radiation fluids with viscosity can exhibit shock waves with continuous profiles that oscillate in all variables.
This paper extends force-free magnetosphere studies to rotating Kerr black holes by explicitly constructing the electromagnetic field and its backreaction on spacetime via linearized Einstein equations, revealing significant modifications to accretion disk observables and jet-launching mechanisms.
This paper establishes novel analytic results for Virasoro modular and fusion kernels at rational central charges, revealing that these kernels can be expressed as linear combinations of non-symmetric functions with square-root branch point singularities, thereby demonstrating the crossing symmetry and modular covariance of timelike Liouville theory and suggesting a semiclassical, one-loop exact behavior relevant to 2d CFT and 3d TQFT.
This paper investigates the efficiency of minimally invasive pairwise Hamiltonian control in desynchronizing higher-order Kuramoto models, revealing that while higher-order interactions generally impede desynchronization near the synchronized state, they can paradoxically facilitate it at intermediate to large interaction strengths depending on initial conditions.