Classical and quantum conformal field theory

Gregory Moore, Nathan Seiberg

Research output: Contribution to journalArticlepeer-review

802 Scopus citations


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
Issue number2
StatePublished - Jun 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Classical and quantum conformal field theory'. Together they form a unique fingerprint.

Cite this