Chiral algebra of Argyres-Douglas theory from M5 brane

Dan Xie Harvard University CMSA Wenbin Yan Harvard University CMSA Shing-Tung Yau Harvard University CMSA

Publications of CMSA of Harvard mathscidoc:1702.38063

We study chiral algebras associated with Argyres-Douglas theories engineered from M5 brane. For the theory engineered using 6d (2,0) type J theory on a sphere with a single irregular singularity (without mass parameter), its chiral algebra is the minimal model of W algebra of J type. For the theory engineered using an irregular singularity and a regular full singularity, its chiral algebra is the affine Kac-Moody algebra of J type. We can obtain the Schur index of these theories by computing the vacua character of the corresponding chiral algebra.
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@inproceedings{danchiral,
  title={Chiral algebra of Argyres-Douglas theory from M5 brane},
  author={Dan Xie, Wenbin Yan, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207235935457077287},
}
Dan Xie, Wenbin Yan, and Shing-Tung Yau. Chiral algebra of Argyres-Douglas theory from M5 brane. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207235935457077287.
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