The quantum poissonLie Tduality and mirror symmetry
Abstract
PoissonLie Tduality in quantum N=2 superconformal WZNW models is considered. The PoissonLie Tduality transformation rules of the superKacMoody algebra currents are found from the conjecture that, as in the classical case, the quantum PoissonLie Tduality is given by an automorphism which interchanges the isotropic subalgebras of the underlying Manin triple of the model. It is shown that quantum PoissonLie Tduality acts on the generators of the N=2 superVirasoro algebra of the quantum models as a mirror symmetry acts: in one of the chirality sectors it is trivial transformation while in another chirality sector it changes the sign of the U(1) current and interchanges the spin3/2 currents. A generalization of PoissonLie Tduality for the KazamaSuzuki models is proposed. It is shown that quantum PoissonLie Tduality acts in these models as a mirror symmetry also.
 Publication:

Soviet Journal of Experimental and Theoretical Physics
 Pub Date:
 July 1999
 DOI:
 10.1134/1.558947
 arXiv:
 arXiv:hepth/9812048
 Bibcode:
 1999JETP...89....5P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 17 pages, LaTex, misprints and references corrected