Quantum Hamiltonian Reduction in Superspace Formalism

Details Quantum Hamiltonian Reduction in Superspace Formalism Quantum Hamiltonian Reduction in Superspace Formalism

1994-03-02

arxiv.org/abs/hep-th/9403012v1

Nucl.Phys. B429 (1994) 277-290

Physics

High Energy Physics

High Energy Physics - Theory

13 pages latex, ENSLAPP-A-459

Scientific paper

10.1016/0550-3213(94)00258-4

Recently the quantum hamiltonian reduction was done in the case of general $s\ell(2)$ embeddings into Lie algebras and superalgebras. In this paper we extend the results to the quantum hamiltonian reduction of $N=1$ affine Lie superalgebras in the superspace formalism. We show that if we choose a gauge for the supersymmetry, and consider only certain equivalence classes of fields, then our quantum hamiltonian reduction reduces to quantum hamiltonian reduction of non-supersymmetric Lie superalgebras. We construct explicitly the super energy-momentum tensor, as well as all generators of spin 1 (and $\hf$); thus we construct explicitly all generators in the superconformal, quasi-superconformal and $\Z_2 \times \Z_2$ superconformal algebras.

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