Advances in Theoretical and Mathematical Physics

Volume 21 (2017)

Number 1

4D $\mathcal{N} = 2$ SCFT and singularity theory. Part II: complete intersection

Pages: 121 – 145

DOI: http://dx.doi.org/10.4310/ATMP.2017.v21.n1.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.)

Shing-Tung Yau (Department of Mathematics, 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)

Huaiqing Zuo (Yau Mathematical Sciences Center, Tsinghua University, Beijing, China)

Abstract

We classify three-dimensional isolated weighted homogeneous rational complete intersection singularities, which define many new four-dimensional $\mathcal{N} = 2$ superconformal field theories. We also determine the mini-versal deformation of these singularities, and therefore solve the Coulomb branch spectrum and Seiberg–Witten solution.

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