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Geometric Interpretation of Vertex Operator Algebras

Yi-Zhi Huang
Proceedings of the National Academy of Sciences of the United States of America
Vol. 88, No. 22 (Nov. 15, 1991), pp. 9964-9968
Stable URL: http://www.jstor.org/stable/2358166
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Geometric Interpretation of Vertex Operator Algebras
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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.

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