Integrable lattice models from four-dimensional field theories

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.Comment: Based on the longer paper arXiv:1303.2632 and on my talk at String-Math 2013. 9 figure