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6d $\mathcal{N}=(1,0)$ theories on $T^2$ and class S theories: part I

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

classification hep-th
keywords classmathcaltheoriestheorytypealongarisingbecomes
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Remarks on the Higgs Branch of 5d Conformal Matter

    hep-th 2025-02 conditional novelty 7.0 of 10

    The Higgs branches of 5d conformal matter atoms and molecules are computed via magnetic quivers and class-S circle reductions, with matching dimensions across the two methods.

  2. Controlled Chaos in 4D SCFTs

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.

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