W-algebras as coset vertex algebras
Arakawa T, Creutzig T, Linshaw AR (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 218
Pages Range: 145-195
Journal Issue: 1
DOI: 10.1007/s00222-019-00884-3
Abstract
We prove the long-standing conjecture on the coset construction of the minimal series principal W-algebras of ADE types in full generality. We do this by first establishing Feigin’s conjecture on the coset realization of the universal principal W-algebras, which are not necessarily simple. As consequences, the unitarity of the “discrete series” of principal W-algebras is established, a second coset realization of rational and unitary W-algebras of type A and D are given and the rationality of Kazama–Suzuki coset vertex superalgebras is derived.
Involved external institutions
Kyoto University / 京都大学 Kyōto daigaku
Japan (JP)
University of Alberta
Canada (CA)
University of Denver
United States (USA) (US)
Japan (JP)
University of Alberta
Canada (CA)
University of Denver
United States (USA) (US)
How to cite
APA:
Arakawa, T., Creutzig, T., & Linshaw, A.R. (2019). W-algebras as coset vertex algebras. Inventiones Mathematicae, 218(1), 145-195. https://doi.org/10.1007/s00222-019-00884-3
MLA:
Arakawa, Tomoyuki, Thomas Creutzig, and Andrew R. Linshaw. "W-algebras as coset vertex algebras." Inventiones Mathematicae 218.1 (2019): 145-195.
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