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Poisson-Lie T-duality and Complex Geometry in N=2 superconformal WZNW models by Parkhomenko, S. E. is a scholarly article available to read on EtoBox.

What is Poisson-Lie T-duality and Complex Geometry in N=2 superconformal WZNW models about?

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.

Author

Parkhomenko, S. E.

Published

1997

Language

EN