The Superconformal Index of the E_6 SCFT

TL;DR

This paper derives an explicit integral formula for the superconformal index of the E_6 SCFT, enabling detailed tests of dualities in strongly-coupled N=2 theories.

Contribution

It provides the first explicit integral representation of the superconformal index for the E_6 SCFT, facilitating new duality checks.

Findings

Validated Argyres-Seiberg duality using the index

Confirmed S-dualities conjectured by Gaiotto

Established a new computational tool for strongly-coupled theories

Abstract

We derive an integral representation for the superconformal index of the strongly-coupled N=2 superconformal field theory with E_6 flavor symmetry. The explicit expression of the index allows highly non-trivial checks of Argyres-Seiberg duality and of a class of S-dualities conjectured by Gaiotto.