Manin pairs and topological conformal field theory

E. Getzler*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We study a general class of topological conformal held theories which are consistent string backgrounds, and we present some examples which arise as coset models associated to what Drinfeld has called a Manin pair. These models are obtained by twisting a superconformal field theory in which the OPE G-(z) · G-(w) has a simple pole, whose residue is a BRST commutator. (The resulting chiral algebra has been studied by Kazama.) We show how this type of topological conformal field theory may be coupled to topological gravity, retrieving a full twisted N = 2 superconformal symmetry in the process.

Original languageEnglish (US)
Pages (from-to)161-201
Number of pages41
JournalAnnals of Physics
Issue number1
StatePublished - Jan 1995

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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