Details

Autor(en) / Beteiligte

• Arakawa, Tomoyuki
• Creutzig, Thomas
• Linshaw, Andrew R.

Titel

W-algebras as coset vertex algebras

Ist Teil von

• Inventiones mathematicae, 2019-10, Vol.218 (1), p.145-195

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2019

Quelle

SpringerLink

Beschreibungen/Notizen

• 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.