Classical N=2 W-superalgebras From Superpseudodifferential Operators

Abstract

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.

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

References in corpus (2)

• Superconformal Covariantization Of Superdifferential Operator On (1|1) Superspace And Classical N=2 W-superalgebras
• On Diff(S^1) Covariantization Of Pseudodifferential Operator

Cited by in corpus (1)

• d=2, N=2 Superconformally Covariant Operators and Super W-Algebras