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Hamiltonian Reduction of Super Osp(1,2)} and Sl(2,1) Kac-Moody Algebras

Kazuhiro Kimura
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Abstract

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 ofthe N=1 and N=2 conformal symmetries. This formulation corresponds to a supercovariant extension of the Drinfeld and Sokolov Hamiltonian reduction.

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Kazuhiro Kimura. 1991-12-14. Hamiltonian Reduction of Super Osp(1,2)} and Sl(2,1) Kac-Moody Algebras. https://doi.org/10.1142/s0217751x92003926

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