We prove the existence and the regularity of the extension by a self-dual simple current for certain regular vertex operator algebras.
Universal Simple Current Vertex Operators
✍ Scribed by Jürgen Fuchs
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 362 KB
- Volume
- 266
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
We construct a vertex operator realization for the simple current primary fields of WZW theories which are based on simply laced affine Lie algebras g. This is achieved by employing an embedding of the integrable highest weight modules of g into the Fock space for a bosonic string compactified on the weight lattice of g. Our vertex operators are universal in the sense that a single expression for the vertex operator holds simultaneously for all positive integral values of the level of g.
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