Two-dimensional Gauge Theories and Quantum Integrable Systems

TL;DR

This paper reviews the connection between two-dimensional topological gauge theories and quantum integrable systems, presenting new results and suggesting broader implications for quantum topological field theories in low dimensions.

Contribution

It introduces new insights and clarifications on the relation between 2d gauge theories and Bethe Ansatz equations, expanding understanding of their connection.

Findings

New results on the relation between 2d gauge theories and Bethe Ansatz

Clarifications on the mathematical structure of these relations

Proposals for broader applicability to quantum topological field theories

Abstract

In this paper the relation between 2d topological gauge theories and Bethe Ansatz equations is reviewed. In addition we present some new results and clarifications. We hope the relations discussed here are particular examples of more general relations between quantum topological fields theories in dimensions $d\leq 4$ and quantum integrable systems.