Naslov
Conformal embeddings and realizations of certain simple W-algebras

Autori
Adamović, Dražen

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
Vertex Algebras and Quantum Groups

Mjesto i datum
Banff, Kanada, 07.02.2016. - 12.02.2016

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Superconformal vertex algebras, explicit realizations, conformal embeddings

Sažetak
We shall first recall explicit realizations of certain affine and superconformal vertex algebras from [D. Adamovic, Transform. Groups (2015)] and study their relations with vertex operator algebras appearing in LCFT. Then we shall consider a generalization motivated by the construction of conformal embeddings of affine vertex algebras in W-algebras. We shall also present a decomposition of a large family of non-rational affine W-algebras as modules for affine vertex operator algebras at admissible and negative levels. A particular emphasis will be put on the application of affine fusion rules and intertwining operators in the determination of branching rules. The second part of this talk is based on a joint paper with V. Kac, P. Moseneder-Frajria, P. Papi and O. Perse.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA