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arXiv · hep-th/9309057

Manin pairs and topological field theory

Ezra Getzler
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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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Ezra Getzler. 1993-09-24. Manin pairs and topological field theory. https://doi.org/10.1006/aphy.1995.1008

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