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4d N=2 SCFT and singularity theory Part III: Rigid singularity

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arxiv 1712.00464 v1 pith:MTGVCW2Z submitted 2017-12-01 hep-th math.AG

Bingyi Chen , Dan Xie , Stephen S.-T. Yau , Shing-Tung Yau , Huaiqing Zuo This is my paper · ORCID
classification hep-thmath.AG
keywords singularityrigidbranchclassifyconjecturecoulombdefinedeformation
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abstract

We classify three fold isolated quotient Gorenstein singularity $C^3/G$. These singularities are rigid, i.e. there is no non-trivial deformation, and we conjecture that they define 4d $\mathcal{N}=2$ SCFTs which do not have a Coulomb branch.

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  1. On holographic duals of certain isolated weighted Gorenstein cDV singularities

    hep-th 2024-12 reject novelty 5.0 of 10

    The paper claims, via mirror symmetry and a quiver search, that none of a listed set of cE6 and cE7 singularities admit crepant resolutions and hence lack N=1 quiver SCFT duals.

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