Classical and quantum conformal field theory

Gregory Moore, Nathan Seiberg

Research output: Contribution to journalArticlepeer-review

754 Scopus citations

Abstract

We define chiral vertex operators and duality matrices and review the fundamental identities they satisfy. In order to understand the meaning of these equations, and therefore of conformal field theory, we define the classical limit of a conformal field theory as a limit in which the conformal weights of all primary fields vanish. The classical limit of the equations for the duality matrices in rational field theory together with some results of category theory, suggest that (quantum) conformal field theory should be regarded as a generalization of group theory.

Original languageEnglish (US)
Pages (from-to)177-254
Number of pages78
JournalCommunications In Mathematical Physics
Volume123
Issue number2
DOIs
StatePublished - Jun 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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