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Manin pairs and topological field theory

1993/09/24 by Ezra Getzler, E. Getzler · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #hep-th #math.QA

paper · pdf · doi:10.1006/aphy.1995.1008

published as Annals Phys. 237 (1995) 161-201 · 36 pages

arxiv created 1993/09/24 · openalex publication_date 1995/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Kazama has described an extension of the N=2 superconformal algebra in which the operator product of G- with itself is singular. In this paper, we relate actions of this chiral algebra to Drinfeld's theory of Manin pairs, or equivalently, quasi-Lie bialgebras. We also show how to couple topological conformal field theories with this symmetry to topological gravity. As an application, we demonstrate the equivalence of the SL(2)/SL(2) model to a deformed SL(2)/SO(2) model tensored with a free field theory. (Revisions correct some minor errors.)

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