🔢 Category

math-ph

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.

🔢 mathematics

Quantum steering is equivalent to state-preserving conditional expectations

This paper establishes that for pure global states in systems with infinitely many degrees of freedom, the ability to steer any ensemble decomposition of a marginal state via measurements on a commuting subsystem is equivalent to the existence of a state-preserving conditional expectation from the commutant onto the subsystem, thereby linking quantum steering to subfactor theory and the failure of Haag duality.

Lauritz van Luijk, Amine Marrakchi, Tobias Osborne, Alexander Stottmeister, Henrik Wilming2026-08-12
🔢 mathematics

A Sharp Local-Question Threshold for GHZ-Equatorial Completeness in Four-Player XOR Games

This paper establishes that four is the sharp threshold for the number of active questions per player in four-player XOR games, proving that all such games with at most three questions per player admit a perfect GHZ-equatorial strategy, while a specific four-question game exists that has a commuting-operator value of one but lacks such a realization due to inconsistent phase equations.

Ziao Tang, Chengkai Zhu, Ge Bai, Xin Wang, Ranyiliu Chen2026-08-12
🌀 nonlinear sciences

Arithmetic selection rules in dispersionless Hamiltonian systems

This paper derives arithmetic selection rules for Liouville integrability in dispersionless Hamiltonian systems, revealing that solutions to a negative Pell equation generate infinite integrals of motion while establishing correspondences between combinatorial polynomial sequences (specifically Motzkin and binomial systems) and specific integrable field theories like the Levi system and dispersionless derivative nonlinear Schrödinger equation.

Fatma Aydogmus, Mustafa Mullahasanoglu2026-08-12
🔢 mathematics

Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups II

This paper explicitly computes the action of mapping class groups on derived block spaces for Drinfel'd doubles of finite groups over fields of positive characteristic by connecting Lyubashenko's approach with representation varieties, thereby demonstrating that these representations generally differ from those on ordinary block spaces.

Simon Lentner, Svea Nora Mierach, Christoph Schweigert, Yorck Sommerhaeuser2026-08-12
⚛️ high-energy theory

On the three-point functions in timelike N=1 Liouville CFT

This paper employs analytic superconformal bootstrap methods to derive explicit expressions for the three-point structure constants of timelike N=1 Liouville CFT, demonstrating that they are inverses of their spacelike counterparts and reproduce N=1 Minimal Model OPE coefficients at degenerate momenta, thereby laying the groundwork for constructing an N=1 supersymmetric Virasoro Minimal String.

Beatrix Mühlmann, Vladimir Narovlansky, Ioannis Tsiares2026-08-11