From dual gauge theories to dual spin models

TL;DR

This paper reviews how the gauge/Yang-Baxter equation correspondence enables the discovery of new integrable lattice spin models through dualities in supersymmetric gauge theories, linking gauge theories to statistical mechanics.

Contribution

It introduces a novel approach using dual gauge theories to construct integrable spin models, expanding the toolkit for statistical mechanics and mathematical physics.

Findings

New integrable lattice spin models derived from gauge theory dualities

Demonstration of the gauge/Yang-Baxter equation correspondence as a powerful discovery tool

Connection between supersymmetric gauge theories and Ising-like models

Abstract

This brief review surveys recent progress driven by the gauge/Yang-Baxter equation (YBE) correspondence. This connection has proven to be a powerful tool for discovering novel integrable lattice spin models in statistical mechanics by exploiting dualities in supersymmetric gauge theories. In recent years, research has demonstrated the use of dual gauge theories to construct new lattice spin models that are dual to Ising-like models.