Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2021)076
Keywords
Duality in Gauge Field Theories; Supersymmetric Gauge Theory; Supersymmetry and Duality
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Funding
- Yau mathematical science center at Tsinghua University
- Young overseas high-level talents introduction plan
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In this paper, we investigate the vertex operator algebras (VOAs) of a class of Argeres-Douglas (AD) matters with two types of non-abelian flavor symmetries. By gauging above AD matters, we can find VOAs for more general N = 2 SCFTs engineered from 6d (2, 0) theories. Furthermore, various new interesting properties of 2d VOAs such as level-rank duality, conformal embedding, collapsing levels, and coset constructions for known VOAs can be derived from 4d theory.
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 [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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