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

Bingyi Chen (Department of Mathematical Sciences, Tsinghua University, Beijing, China)

Dan Xie (Center of Mathematical Sciences and Applications, Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts, U.S.A.)

Stephen S.-T. Yau (Department of Mathematical Sciences, Tsinghua University, Beijing, China)

Shing-Tung Yau (Center of Mathematical Sciences and Applications, Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts, U.S.A.)

Huaiqing Zuo (Department of Mathematical Sciences, Tsinghua University, Beijing, China)

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

Published 15 July 2019