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Some General Results on Conformal Embeddings of Affine Vertex Operator Algebras by Adamovic, Drazen; Perse, Ozren is a scholarly article available to read on EtoBox.

What is Some General Results on Conformal Embeddings of Affine Vertex Operator Algebras about?

We give a general criterion for conformal embeddings of vertex operator algebras associated to affine Lie algebras at arbitrary levels. Using that criterion, we construct new conformal embeddings at admissible rational and negative integer levels. In particular, we construct all remaining conformal embeddings associated to automorphisms of Dynkin diagrams of simple Lie algebras. The semisimplicity of the corresponding decompositions is obtained by using the concept of fusion rules for vertex operator algebras.

Author

Adamovic, Drazen; Perse, Ozren

Published

2011

Language

EN