Geometric interpretation of vertex operator algebras.
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- Record sourced from PubMed, PMID 11607240.
- Also identified by PMC identifier 52847.
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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.