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arXiv · 1704.00799

Three dimensional canonical singularity and five dimensional N=1 SCFT

Dan Xie·Shing-Tung Yau
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Abstract

We conjecture that every three dimensional canonical singularity defines a five dimensional N=1 SCFT. Flavor symmetry can be found from singularity structure: non-abelian flavor symmetry is read from the singularity type over one dimensional singular locus. The dimension of Coulomb branch is given by the number of compact crepant divisors from a crepant resolution of singularity. The detailed structure of Coulomb branch is described as follows: a): A chamber of Coulomb branch is described by a crepant resolution, and this chamber is given by its Nef cone and the prepotential is computed from triple intersection numbers; b): Crepant resolution is not unique and different resolutions are related by flops; Nef cones from crepant resolutions form a fan which is claimed to be the full Coulomb branch.

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Dan Xie, Shing-Tung Yau. 2017-04-03. Three dimensional canonical singularity and five dimensional N=1 SCFT. https://doi.org/10.1007/jhep06(2017)134

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