A stringy perspective on the quantum integrable model/gauge correspondence

TL;DR

This paper introduces a string theory framework that connects quantum integrable models with supersymmetric gauge theories, emphasizing the role of fundamental strings winding around compact dimensions to achieve quantization.

Contribution

It provides a novel string theory realization of the quantum integrable model/gauge correspondence, including specific examples like the XXZ model and 5D Omega-deformed SYM.

Findings

String winding effects lead to quantization in the correspondence.

Explicit realization of the XXZ gauge/Bethe correspondence.

Application to five-dimensional Omega-deformed SYM.

Abstract

We present a string theory realization for the correspondence between quantum integrable models and supersymmetric gauge theories. The quantization results from summing the effects of fundamental strings winding around a compact direction. We discuss the examples of the XXZ gauge/Bethe correspondence and five-dimensional \Omega--deformed SYM on M x S^1.