It is proved that for any vector space W, any set of parafermion-like vertex operators on W in a certain canonical way generates a generalized vertex algebra in the sense of Dong and Lepowsky with W as a natural module. As an application, generalized vertex algebras are constructed from the Lepowsky
Nonlocal vertex algebras generated by formal vertex operators
✍ Scribed by Haisheng Li
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2006
- Tongue
- English
- Weight
- 383 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1022-1824
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## DEDICATED TO PROFESSOR MICHIO SUZUKI ON HIS 70TH BIRTHDAY ␣qD D Ž . Condition S M = U is irreducible for any irreducible M -mod-␣qD D ule U. Here M = U denotes a fusion product or a tensor product. They ␣qD both are the same in this paper since we will treat only rational VOAs. As