Conformal embeddings of affine vertex algebras in minimal W -algebras I: Structural results

We find all values of k∈C, for which the embedding of the maximal affine vertex algebra in a simple minimal W-algebra Wk(g,θ) is conformal, where g is a basic simple Lie superalgebra and −θ its minimal root. In particular, it turns out that if Wk(g,θ) does not collapse to its affine part, then the p...

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Bibliographic Details
Main Authors: Adamovic, Drazen, Kac, Victor, Frajria, Pierluigi Moseneder, Papi, Paolo, Perse, Ozren
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Elsevier BV 2019
Online Access:https://hdl.handle.net/1721.1/122979