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Nonabelian Twists of the $D_4$ Theory

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arxiv 2112.10227 v1 pith:ETC7RYO6 submitted 2021-12-19 hep-th

classification hep-th
keywords puncturedcorrespondingnonabelianpreviousscftsspherestheorytwists
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abstract

We study theories of type $D_4$ in class-S, with nonabelian outer-automorphism twists around various cycles of the punctured Riemann surface $C$. We propose an extension of previous formul\ae\ for the superconformal index to cover this case and classify the SCFTs corresponding to fixtures (3-punctured spheres). We then go on to study families of SCFTs corresponding to once-punctured tori and 4-punctured spheres. These exhibit new behaviours, not seen in previous investigations. In particular, the generic theory with 4 punctures on the sphere from non-commuting $\mathbb{Z}_2$ twisted sectors has six distinct weakly-coupled descriptions.

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Cited by 1 Pith paper

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  1. On Twisted $A_{2n}$ Class-S Theories

    hep-th 2024-11 conditional novelty 7.0 of 10

    A proposed formula and puncture data for twisted A2n Coulomb branch dimensions, built on a conjectured metaplectic special map d'.

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