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arXiv · 1902.02838

W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes

Dan Xie·Wenbin Yan
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Abstract

We identify vertex operator algebras (VOAs) of a class of Argyres-Douglas (AD) matters with two types of non-abelian flavor symmetries. They are the $W$ algebra defined using nilpotent orbit with partition $[q^m,1^s]$. Gauging above AD matters, we can find VOAs for more general $\mathcal{N}=2$ SCFTs engineered from 6d $(2,0)$ theories. For example, the VOA for general $(A_{N-1}, A_{k-1})$ theory is found as the coset of a collection of above $W$ algebras. Various new interesting properties of 2d VOAs such as level-rank duality, conformal embedding, collapsing levels, coset constructions for known VOAs can be derived from 4d theory.

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Dan Xie, Wenbin Yan. 2019-02-07. W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes. https://arxiv.org/abs/1902.02838

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