The hamiltonian reduction of the BRST complex and N=2 SUSY

Details The hamiltonian reduction of the BRST complex and N=2 SUSY The hamiltonian reduction of the BRST complex and N=2 SUSY

1993-04-12

arxiv.org/abs/hep-th/9304049v2

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 6 pictures available on request; in the revised version some misprints are corrected

Scientific paper

We study the nonunitary representations of N=2 Super Virasoro algebra for the rational central charges c<3. The resolutions for the irreducible representations of N=2 SVir in terms of the "2-d gravity modules" are obtained and their characters are computed. The correspondence between the N=2 nonunitary "minimal" models and the Virasoro minimal models coupled to 2-d gravity is shown at the level of states. We also define the hamiltonian reduction of the BRST complex of sl(N)/sl(N) coset to the BRST complex of the W-gravity coupled to the W matter. The case of sl(2) is considered explicitly. It leads to the presentation of N=2 Super Virasoro algebra by the Lie algebra cohomology. Finally, we reveal the mechanism of the correspondence between sl(2)/sl(2)$ coset and 2-d gravity.

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