Bethe/Gauge Correspondence for SO/Sp Gauge Theories and Open Spin Chains

TL;DR

This paper extends the Bethe/Gauge correspondence to include SO/Sp gauge theories and open spin chains with boundary conditions, providing new insights into their mathematical and physical relationships.

Contribution

It introduces a Bethe/Gauge correspondence for SO/Sp gauge theories and open spin chains, expanding previous work to new gauge groups and boundary conditions.

Findings

Established a correspondence between SO/Sp gauge theories and open XXX/XXZ spin chains.

Analyzed linear quiver gauge theories within this framework.

Extended the Bethe/Gauge correspondence to boundary conditions.

Abstract

In this article, we extend the work of arXiv:0901.4744 to a Bethe/Gauge correspondence between 2d (or resp. 3d) SO/Sp gauge theories and open XXX (resp. XXZ) spin chains with diagonal boundary conditions. The case of linear quiver gauge theories is also considered.