Chiral algebra of the Argyres-Douglas theory from M5 branes
Dan Xie, Wenbin Yan, Shing–Tung Yau
Abstract
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 algebra.
Topics & Concepts
SingularityAlgebra over a fieldCharacter (mathematics)PhysicsPure mathematicsMathematicsGeometryBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsNonlinear Waves and Solitons