We classify three fold isolated quotient Gorenstein singularity C3/G. These singularities are rigid, i.e. there is no non-trivial deformation, and we conjecture that they define 4d N=2 SCFTs which do not have a Coulomb branch.
@article{arxiv.1712.00464,
title = {4d N=2 SCFT and singularity theory Part III: Rigid singularity},
author = {Bingyi Chen and Dan Xie and Stephen S. -T. Yau and Shing-Tung Yau and Huaiqing Zuo},
journal= {arXiv preprint arXiv:1712.00464},
year = {2017}
}