Integrable lattice models from four-dimensional field theories

TL;DR

This paper presents a novel method to construct integrable lattice models, including solutions to the Yang-Baxter equation, derived from a four-dimensional topological-holomorphic field theory related to twisted N=1 gauge theory.

Contribution

It introduces a new approach to generate integrable lattice models from four-dimensional field theories, connecting gauge theory deformations to integrability.

Findings

Constructs integrable lattice models from 4D field theories.

Provides solutions to the Yang-Baxter equation with spectral parameter.

Links twisted N=1 gauge theory to spin-chain models.

Abstract

This note gives a general construction of an integrable lattice model (and a solution of the Yang-Baxter equation with spectral parameter) from a four-dimensional field theory which is a mixture of topological and holomorphic. Spin-chain models arise in this way from a twisted, deformed version of N=1 gauge theory.