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

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

1997-06-27

arxiv.org/abs/hep-th/9706199v2

Nucl.Phys. B510 (1998) 623-639

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, submitted to Nucl Phys B., some comments and formulas on Poisson-Lie T-duality transformation added

Scientific paper

10.1016/S0550-3213(97)00712-8

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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