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

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.

17 pages, 1 figure

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Cited by in corpus (4)

• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• On the moduli spaces of 4d $\mathcal{N}=3$ SCFTs I: triple special Kähler structure
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• Mixed Hodge structure and $\mathcal{N}=2$ Coulomb branch solution