Abstract
Topological conformal field theories based on superconformal current algebras are constructed. The models thus obtained are the supersymmetric version of the G G coset theories. Their topological conformal algebra is generated by operators of dimensions 1, 2 and 3 and can be regarded as an extension of the twisted N=2 superconformal algebra. These models possess an extended supersymmetry whose generators are exact in the topological BRST cohomology.
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