We show that the N=(1,0) superconformal theory on a single M5 brane on the ALE space of type G=An,Dn,En, when compactified on T2, becomes a class S theory of type G on a sphere with two full punctures and a simple puncture. We study this relation from various viewpoints. Along the way, we develop a new method to study the 4d SCFT arising from the T2 compactification of a class of 6d N=(1,0) theories we call very Higgsable.
@article{arxiv.1503.06217,
title = {6d $\mathcal{N}=(1,0)$ theories on $T^2$ and class S theories: part I},
author = {Kantaro Ohmori and Hiroyuki Shimizu and Yuji Tachikawa and Kazuya Yonekura},
journal= {arXiv preprint arXiv:1503.06217},
year = {2015}
}