Chiral algebra of the Argyres-Douglas theory from M5 branes

D Xie, W Yan, ST Yau - Physical Review D, 2021 - APS
D Xie, W Yan, ST Yau
Physical Review D, 2021APS
We study chiral algebras associated with Argyres-Douglas theories engineered from M5
branes. 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 …
We study chiral algebras associated with Argyres-Douglas theories engineered from M5 branes. For the theory engineered using 6D (2,0) type theory on a sphere with a single irregular singularity (without mass parameter), its chiral algebra is the minimal model of W algebra of type. For the theory engineered using an irregular singularity and a regular full singularity, its chiral algebra is the affine Kac-Moody algebra of type. We can obtain the Schur index of these theories by computing the vacua character of the corresponding chiral algebra.
American Physical Society
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