Free field resolution for nonunitary representations of N=2 SuperVirasoro
V. Sadov
Abstract
We study N=2 SuperVirasoro SCFT for the generic value of the central charge. The main tool is the nonstandard bosonisation suggested in L. Rozansky a letter to M. Bershadsky, 1989, B. Gato-Rivera, A. Semikhatov Phys. Letts. B293 (1992) 72,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 slk(2|1) to N=2 SVir is constructed.
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