2217 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 extends the correspondence between Type IIB branes and Ding-Iohara-Miki algebra representations to include branes spiraling around a compactified circle, revealing that such configurations generate new intertwiners yielding the K-theoretic vertex function for sheaves on and Shiraishi's non-stationary elliptic Ruijsenaars wavefunctions.
Using a high-accuracy numerical strategy, this paper reports the discovery of 10,059 previously unknown three-dimensional periodic orbits for the general three-body problem, including 1,996 linearly stable ones and novel "piano-trio" and "choerographical" configurations, thereby providing new insights into the chaotic properties of the system.
This paper investigates radially symmetric 2D Coulomb gas systems at inverse temperature where the equilibrium density vanishes on an interior ring, revealing a novel term in the partition function's large- expansion and deriving a new limiting correlation kernel distinct from the Ginibre kernel under a specific double scaling limit.
This paper presents a fully discrete, non-perturbative formulation of Jackiw-Teitelboim gravity as an BF theory, demonstrating that all physical information resides at the boundary through the derivation of asymptotic symmetries, the establishment of a continuum OPE dictionary, and the reproduction of Bekenstein-Hawking entropy via gauge-invariant holonomy data without invoking an explicit Schwarzian action.
This paper presents two general methods for implementing quantum circuits to directly measure local unitary invariants, specifically demonstrating their application to three-qubit entanglement measures on the IBM Quantum Platform.
This paper investigates whether the spectral directions triggering the first Gribov horizon are necessarily accessible to the sources in Zwanziger's horizon function by analyzing radial SU(2) hedgehog backgrounds in three and four Euclidean dimensions, revealing potential "blind spots" where critical subspaces may remain undetected due to degeneracy or domain constraints.
This paper investigates a spin-1/2 impurity coupled to the boundary of an integrable spin-s Takhtajan-Babujian chain, revealing a rich phase diagram of boundary quantum phase transitions and bound states that reorganize the excitation spectrum, and provides a unified thermodynamic and dynamical description of these phenomena through a combination of boundary conformal field theory, exact Bethe Ansatz, generalized thermodynamic Bethe Ansatz, and tensor-network simulations.
This paper introduces a general, non-perturbative activated-mode principle that determines real-to-complex spectral transition thresholds across diverse non-Hermitian systems by identifying a small, variationally determined Hilbert subspace where spectral detuning and projected couplings compete, thereby recasting these transitions as generic mode-selection problems independent of specific symmetries.
This paper argues that Type III von Neumann algebras, which describe infinite-dimensional quantum systems like those in quantum field theory, fundamentally require an infinite amount of "magic" (non-Clifford gates), implying that any quantum simulation of such systems with bounded magic cannot yield a Type III algebra.
This paper establishes the thermodynamic formalism for intermittent interval maps with multiple neutral fixed points and discontinuous potentials, proving the existence of a unique positive-entropy equilibrium state under hyperbolicity conditions while characterizing phase transitions where multiple ergodic states may coexist at critical parameters.