Abstract
In this paper, Vafa's approach to the formulation of conformal field theories is combined with the formal calculus developed in Frenkel, Lepowsky, and Meurman's work on the vertex operator construction of the Monster to give a geometric definition of vertex operator algebras. The main result announced is the equivalence between this definition and the algebraic one in the sense that the categories determined by these definitions are isomorphic.
Full text
PDF
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Borcherds R. E. Vertex algebras, Kac-Moody algebras, and the Monster. Proc Natl Acad Sci U S A. 1986 May;83(10):3068–3071. doi: 10.1073/pnas.83.10.3068. [DOI] [PMC free article] [PubMed] [Google Scholar]