More Arnold's N = 2 superconformal gauge theories

TL;DR

This paper explores N=2 superconformal gauge theories derived from Type IIB string theory on Arnold's bimodal singularities, predicting new Y-systems and supporting the link between Bethe ansatz systems and these theories.

Contribution

It introduces a class of N=2 theories from Arnold's singularities, predicts 11 new Y-systems, and supports the correspondence between Y-systems and superconformal theories.

Findings

Identification of finite BPS chambers for these theories

Prediction of 11 new periodic Y-systems

Evidence for the Bethe ansatz and N=2 theory correspondence

Abstract

We study the N = 2 gauge theories obtained by engineering the Type IIB superstring on the quasi-homogeneous elements of Arnold's list of bimodal singularities. All these theories have finite BPS chambers and we describe, along the lines of [arXiv:1107.5747], the algebraically obvious ones. Our results leads to the prediction of 11 new periodic Y-systems, providing additional evidence for the correspondence in between thermodinamical Bethe ansatz periodic Y-systems and N = 2 superconformal theories with a finite BPS chamber whose chiral primaries have dimensions of the form $\mathbb{N}/\ell$.