Chiral algebra of Argyres-Douglas theory from M5 brane

Abstract

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.

5 pages, 1 figure

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• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Chiral Algebras for Trinion Theories
• Coulomb branch Hilbert series and Hall-Littlewood polynomials

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