Free field resolution for nonunitary representations of N=2 SuperVirasoro

Details Free field resolution for nonunitary representations of N=2 SuperVirasoro Free field resolution for nonunitary representations of N=2 SuperVirasoro

1993-02-14

arxiv.org/abs/hep-th/9302059v3

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

We study N=2 SuperVirasoro SCFT for the generic value of the central charge. The main tool is the nonstandard bosonisation suggested in \ref\rRoz{L. Rozansky a letter to M. Bershadsky, 1989}, \ref\rSeBGR{B. Gato-Rivera, A. Semikhatov Phys. Letts. B293 (1992) 72},\ref\rBLNW{M. Bershadsky, W. Lerche, D. Nemeshansky, N. Warner N=2 Extended superconformal structure of Gravity and W Gravity coupled to Matter HUTP-A034/92}. The free field resolutions for the irreducible representations are obtained; the characters of these representations are computed. The quantum hamiltonian reduction from the Kac-Moody $\hat{sl}_k(2|1)$ to N=2 $SVir$ is constructed.

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