PoissonLie Tduality and complex geometry in N = 2 superconformal WZNW models
Abstract
PoissonLie Tduality in N = 2 superconformal WZNW models on the real Lie groups is considered. It is shown that PoissonLie Tduality is governed by the complexifications of the corresponding real groups endowed with SemenovTianShansky 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 PoissonLie symmetries. The PoissonLie Tduality transformation maps each model onto itself but acts nontrivially on the space of classical solutions.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1998
 DOI:
 10.1016/S05503213(97)007128
 arXiv:
 arXiv:hepth/9706199
 Bibcode:
 1998NuPhB.510..623P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 15 pages, latex, submitted to Nucl Phys B., some comments and formulas on PoissonLie Tduality transformation added