Quantum integrability from non-simply laced quiver gauge theory

TL;DR

This paper explores how different quantum integrable systems arise from the compactification of 5d non-simply laced fractional quiver gauge theories, highlighting the role of two distinct Nekrasov-Shatashvili limits.

Contribution

It demonstrates the emergence of different quantum integrable systems from two Nekrasov-Shatashvili limits in non-simply laced quiver gauge theories, extending previous simply laced results.

Findings

Different quantum integrable systems can be obtained from two limits.

The $BC_2$-quiver serves as a key example.

Connections with 3d non-simply laced quiver theories are discussed.

Abstract

We consider the compactifcation of 5d non-simply laced fractional quiver gauge theory constructed in arXiv:1705.04410. In contrast to the simply laced quivers, here two $\Omega$-background parameters play different roles, so that we can take two possible Nekrasov-Shatashvili limits. We demonstrate how different quantum integrable systems can emerge from these two limits, using $BC_2$-quiver as the simplest illustrative example for our general results. We also comment possible connections with compactified 3d non-simply laced quiver gauge theory.