Geometric interpretation of vertex operator algebras.

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.

authors

Huang YZ

doi

10.1073/pnas.88.22.9964

keywords:

subject

Has Abstract

pub_date

1991-11-15 00:00:00

pages

9964-8

issue

22

eissn

0027-8424

issn

1091-6490

journal_volume

88

pub_type

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