PoissonLie TDuality and N=2 Superconformal WZNW Models on Compact Groups
Abstract
The supersymmetric generalization of PoissonLie Tduality in the N=2 superconformal WZNW models on the compact groups is considered. It is shown that the role of Drinfeld's doubles play the complexifications of the corresponding compact groups. These complex doubles are used to define the natural actions of the isotropic subgroups forming the doubles on the group manifolds of the N=2 superconformal WZNW models. The PoissonLie Tduality in N=2 superconformal U(2)WZNW model is considered in details. It is shown that this model admits PoissonLie symmetries with respect to the isotropic subgroups forming Drinfeld's double Gl(2,C). PoissonLie Tduality transformation maps this model into itself but acts nontrivially on the space of classical solutions. Supersymmetric generalization of PoissonLie Tduality in N=2 superconformal WZNW models on the compact groups of higher dimensions is proposed.
 Publication:

Modern Physics Letters A
 Pub Date:
 1997
 DOI:
 10.1142/S0217732397003216
 arXiv:
 arXiv:hepth/9705233
 Bibcode:
 1997MPLA...12.3091P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 12 pages, latex, misprints corrected