Some General Results on Conformal Embeddings of Affine Vertex Operator Algebras

被引：0
作者：
Dražen Adamović
Ozren Perše
机构：
[1] University of Zagreb,Faculty of Science, Department of Mathematics
来源：
Algebras and Representation Theory | 2013年 / 16卷
关键词：
Vertex operator algebra; Affine Kac–Moody algebra; Conformal embedding; Virasoro algebra; Fusion rules; 17B69; 17B67; 81R10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：51 / 64
页数：13
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