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.

⚛️ high-energy theory

The N=1{\cal N}=1 supersymmetric Pati-Salam models with extra SU(2)L2/R2SU(2)_{L_2/R_2} gauge symmetry from intersecting D6-branes

This paper presents the first construction of three-family N=1{\cal N}=1 supersymmetric Pati-Salam models with extra SU(2)L2/R2SU(2)_{L_2/R_2} gauge symmetries from intersecting non-rigid D6-branes, demonstrating how adding a dd-stack of branes reduces filler branes and exotic particles while generating useful vector-like states and new model classes.

Haotian Huangfu, Tianjun Li, Qi Sun, Rui Sun2026-10-06
🔬 condensed matter

Uniform meandric systems as percolation on planar maps: conjectures and a numerical study

This paper presents a numerical study of uniform meandric systems encoded by random walks and interpreted as critical percolation on random planar maps, providing evidence for negative association in box-crossing events, formulating asymptotic conjectures, and introducing a local dynamics that demonstrates faster decorrelation of percolation structures compared to the underlying map geometry.

David Wei2026-10-06