Some general results on conformal embeddings of affine vertex operator algebras (CROSBI ID 172471)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Adamović, Dražen ; Perše, Ozren
engleski
Some general results on conformal embeddings of affine vertex operator algebras
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.
vertex operator algebra; affine Kac-Moody algebra; conformal embedding; Virasoro algebra; fusion rules
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Podaci o izdanju
16 (1)
2013.
51-64
objavljeno
1386-923X
10.1007/s10468-011-9293-3