HAMILTONIAN REDUCTION OF SUPER OSP(1,2) AND SL(2,1) KAC-MOODY ALGEBRAS

We present the Wakimoto construction of the super OSP(1,2) and SL(2,1) Kac-Moody algebras and the free field representation of the corresponding WZW models. After imposing suitable constraints, we can lead the Feigin-Fuchs representation of Virasoro algebras and coadjoint actions of the N=1 and N=2 conformal symmetries. This formulation corresponds to a supercovariant extension of the Drinfeld and Sokolov Hamiltonian reduction.