# MathSciDoc: An Archive for Mathematician ∫

#### Theoretical Physicsmathscidoc:1912.43599

Journal of High Energy Physics, 2017, (6), 134
A bstract We conjecture that every three dimensional canonical singularity defines a five dimensional N 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.
@inproceedings{danthree,
title={Three dimensional canonical singularity and five dimensional \mathcal{} = 1 SCFT},
author={Dan Xie, and Shing-Tung Yau},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204335242983163},
booktitle={Journal of High Energy Physics},
volume={2017},
number={6},
pages={134},
}

Dan Xie, and Shing-Tung Yau. Three dimensional canonical singularity and five dimensional \mathcal{} = 1 SCFT. Vol. 2017. In Journal of High Energy Physics. pp.134. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204335242983163.