# 6d $$\mathcal{N}=\left(1,0\right)$$ theories on T 2 and class S theories. Part I

Journal of High Energy Physics, Jul 2015

Abstract We show that the $$\mathcal{N}=\left(1,0\right)$$ superconformal theory on a single M5 brane on the ALE space of type G = A n , D n , E n , 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 $$\mathcal{N}=\left(1,0\right)$$ theories we call very Higgsable.

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Kantaro Ohmori, Hiroyuki Shimizu, Yuji Tachikawa, Kazuya Yonekura. 6d $$\mathcal{N}=\left(1,0\right)$$ theories on T 2 and class S theories. Part I, Journal of High Energy Physics, 2015, 14, DOI: 10.1007/JHEP07(2015)014