🔢 Category

math-ph

3242 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.

⚛️ general relativity

Holonomies and Boundary Symmetries in Discrete BF Formulation of Jackiw-Teitelboim Gravity

This paper presents a fully discrete, non-perturbative formulation of Jackiw-Teitelboim gravity as an sl(2,R)\mathrm{sl}(2,\mathbb{R}) 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.

H. T. Özer, Aytül Filiz2026-08-14
🔬 condensed matter

Boundary phases and thermodynamics of the Kondo spin-ss chain: from overscreened Kondo to boundary-bound states

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.

Abay Zhakenov, Pradip Kattel, Andreas Gleis, Natan Andrei2026-08-14
🔬 mesoscale physics

Exceptional activated mode theory for generalized real-complex transitions

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.

Mengjie Yang, Alexander N. Poddubny, Ching Hua Lee2026-08-14
🔢 mathematics

Thermodynamic formalism for intermittent maps with multiple neutral fixed points and phase transitions

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.

Daniel Coronel, Francisco Monardes2026-08-14
🔢 mathematics

A discrete Smorodinsky--Winternitz II superintegrable system

This paper constructs and solves a discrete Smorodinsky–Winternitz II superintegrable system on a triangular lattice region using commuting finite-difference operators and bivariate orthogonal polynomials, demonstrating its maximal superintegrability via a Hahn-algebra symmetry and showing that its continuum limit recovers the continuous system with a corresponding transition to the Laguerre–Heun algebra.

Pierre-Antoine Bernard, Vutha Vichhea Chea, Luc Vinet2026-08-14