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

2019/02/07 by Xie, Dan, Yan, Wenbin
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1902.02838

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 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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