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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 9964-9968 |
| Number of pages | 5 |
| Journal | Proceedings of the National Academy of Sciences of the United States of America |
| Volume | 88 |
| Issue number | 22 |
| DOIs | |
| State | Published - 1991 |
All Science Journal Classification (ASJC) codes
- General
Keywords
- Conformal field theory
- Formal calculus
- Virasoro algebra