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arXiv · hep-th/9706199

Poisson-Lie T-duality and Complex Geometry in N=2 superconformal WZNW models

S. E. Parkhomenko
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Abstract

Poisson-Lie T-duality in N=2 superconformal WZNW models on the real Lie groups is considered. It is shown that Poisson-Lie T-duality is governed by the complexifications of the corresponding real groups endowed with Semenov-Tian-Shansky symplectic forms, i.e. Heisenberg doubles. Complex Heisenberg doubles are used to define on the group manifolds of the N=2 superconformal WZNW models the natural actions of the isotropic complex subgroups forming the doubles. It is proved that with respect to these actions N=2 superconformal WZNW models admit Poisson-Lie symmetries. Poisson-Lie T-duality transformation maps each model into itself but acts nontrivialy on the space of classical solutions.

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S. E. Parkhomenko. 1997-09-17. Poisson-Lie T-duality and Complex Geometry in N=2 superconformal WZNW models. https://doi.org/10.1016/s0550-3213(97)00712-8

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