Abstract
We conjecture that every three dimensional canonical singularity defines a five dimensional \( \mathcal{N} \) = 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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Xie, D., Yau, ST. Three dimensional canonical singularity and five dimensional \( \mathcal{N} \) = 1 SCFT. J. High Energ. Phys. 2017, 134 (2017). https://doi.org/10.1007/JHEP06(2017)134
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DOI: https://doi.org/10.1007/JHEP06(2017)134