Complex Structures, Duality, and WZW-Models in Extended Superspace

Abstract

We find the complex structure on the dual of a complex target space. For $N=(2,2)$ systems, we prove that the space orthogonal to the kernel of the commutator of the left and right complex structures is {\em always} integrable, and hence the kernel is parametrized by chiral and twisted chiral superfield coordinates. We then analyze the particular case of $SU(2)\times SU(2)$, and are led to a new $N=2$ superspace formulation of the $SU(2)\times U(1)$ WZW-model.

Latex, 16 pages. In this revised manuscript, we add a section and an author, and alter one of the conclusions of the paper

References in corpus (3)

• Duality, Quotients, and Currents
• Generalized Duality in Curved String-Backgrounds
• Target Space Duality as a Symmetry of String Field Theory

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