Abstract
We study the classical and quantum G extended superconformal algebras from the hamiltonian reduction of affine Lie superalgebras, with even subalgebras G ⊛ sl(2). At the classical level we obtain generic formulas for the Poisson bracket structure of the algebra. At the quantum level we get free field (Feigin-Fuchs) representations of the algebra by using the BRST formalism and the free field realization of the affine Lie superalgebra. In particular we get the free field representation of the sl(2) ⊛ sp(2 N) extended superconformal algebra from the Lie superalgebra osp(4 | 2 N). We also discuss the screening operators of the algebra and the structure of singular vectors in the free field representation.
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