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 algebras defined using nilpotent orbit with partition [qm, 1s]. 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 (AN − 1, Ak − 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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Xie, D., Yan, W. W algebras, cosets and VOAs for 4d \( \mathcal{N} \) = 2 SCFTs from M5 branes. J. High Energ. Phys. 2021, 76 (2021). https://doi.org/10.1007/JHEP04(2021)076
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DOI: https://doi.org/10.1007/JHEP04(2021)076