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6d mathcal{N}=(1,0) theories on T² and class S theories: part I

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arxiv 1503.06217 v1 pith:FSQONTOD submitted 2015-03-20 hep-th

6d mathcal{N}=(1,0) theories on T² and class S theories: part I

classification hep-th
keywords classmathcaltheoriestheorytypealongarisingbecomes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the $\mathcal{N}=(1,0)$ superconformal theory on a single M5 brane on the ALE space of type $G=A_n, D_n, E_n$, when compactified on $T^2$, 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 $T^2$ compactification of a class of 6d $\mathcal{N}=(1,0)$ theories we call very Higgsable.

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Cited by 2 Pith papers

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