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# Advances in Theoretical and Mathematical Physics

## Volume 22 (2018)

### Number 8

### 4d $\mathcal{N}=2$ SCFT and singularity theory Part III: Rigid singularity

Pages: 1885 – 1905

DOI: https://dx.doi.org/10.4310/ATMP.2018.v22.n8.a2

#### Authors

#### 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.

Dedicated to Professor Herbert Blaine Lawson, Jr. on the occasion of his 77th birthday.

Published 15 July 2019