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arXiv · hep-th/9404179

Classical N=2 W-superalgebras From Superpseudodifferential Operators

Wen-Jui Huang·J. C. Shaw·H. C. Yen
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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.

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Wen-Jui Huang, J. C. Shaw, H. C. Yen. 1994-04-29. Classical N=2 W-superalgebras From Superpseudodifferential Operators. https://doi.org/10.1088/0305-4470%2F28%2F1%2F019

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