Supersymmetric gauge theory and the Yangian

TL;DR

This paper establishes a novel link between supersymmetric gauge theories and the Yangian, showing that a deformed N=1 gauge theory is governed by the Yangian, enabling exact calculations of Wilson operator expectation values related to integrable models.

Contribution

It introduces a new connection between supersymmetric gauge theories and the Yangian, providing a framework for exact perturbative calculations of Wilson operator expectations.

Findings

Yangian controls a deformed N=1 supersymmetric gauge theory.

Exact perturbative calculation of Wilson operator expectation values.

Correspondence with partition functions of integrable spin-chain models.

Abstract

This paper develops a new connection between supersymmetric gauge theories and the Yangian. I show that a twisted, deformed version of the pure N=1 supersymmetric gauge theory is controlled by the Yangian, in the same way that Chern-Simons theory is controlled by the quantum group. This result is used to give an exact calculation, in perturbation theory, of the expectation value of a certain net of n+m Wilson operators in the deformed N=1 gauge theory. This expectation value coincides with the partition function of a spin-chain integrable lattice model on an n-by-m doubly-periodic lattice.