Some general results on conformal embeddings of affine vertex operator algebras

DOI10.1007/s10468-011-9293-3zbMath1281.17028arXiv1101.4484OpenAlexW2963777786MaRDI QIDQ1946630

Dražen Adamović, Ozren Perše

Publication date: 15 April 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4484

zbMATH Keywords

vertex operator algebraVirasoro algebraconformal embeddingfusion rulesaffine Kac-Moody algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items

A realization of certain modules for the \(N = 4\) superconformal algebra and the affine Lie algebra \(a_{2}^{(1)}\), On the classification of non-equal rank affine conformal embeddings and applications, Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. II: Decompositions, Kostant Pairs of Lie Type and Conformal Embeddings, Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results, Vertex algebras for S-duality, FUSION RULES AND COMPLETE REDUCIBILITY OF CERTAIN MODULES FOR AFFINE LIE ALGEBRAS, Conformal embeddings in affine vertex superalgebras, Finite vs. infinite decompositions in conformal embeddings

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