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

Ivan T. Ivanov; Byungbae Kim; Martin Rocek

doi:10.1016/0370-2693(94)01476-S

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

High Energy Physics - Theory 2009-10-28 v3

Authors: Ivan T. Ivanov , Byungbae Kim , Martin Rocek

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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.

Keywords

wess-zumino-witten models t-duality moduli spaces

Cite

@article{arxiv.hep-th/9406063,
  title  = {Complex Structures, Duality, and WZW-Models in Extended Superspace},
  author = {Ivan T. Ivanov and Byungbae Kim and Martin Rocek},
  journal= {arXiv preprint arXiv:hep-th/9406063},
  year   = {2009}
}

Comments

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

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

Abstract

Keywords

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