Classical N=2 W-superalgebras From Superpseudodifferential Operators

Details Classical N=2 W-superalgebras From Superpseudodifferential Operators Classical N=2 W-superalgebras From Superpseudodifferential Operators

1994-04-29

arxiv.org/abs/hep-th/9404179v1

J.Phys. A28 (1995) 165-178

Physics

High Energy Physics

High Energy Physics - Theory

19 pages (Plain TeX), NHCU-HEP-94-13

Scientific paper

10.1088/0305-4470/28/1/019

We study the supersymmetric Gelfand-Dickey algebras associated with the superpseudodifferential operators of positive as well as negative leading order. We show that, upon the usual constraint, these algebras contain the N=2 super Virasoro algebra as a subalgebra as long as the leading order is odd. The decompositions of the coefficient functions into N=1 primary fields are then obtained by covariantizing the superpseudodifferential operators. We discuss the problem of identifying N=2 supermultiplets and work out a couple of supermultiplets by explicit computations.

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