Classical N=2 W-superalgebras From Superpseudodifferential Operators
High Energy Physics - Theory
2009-10-28 v1
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.
Cite
@article{arxiv.hep-th/9404179,
title = {Classical N=2 W-superalgebras From Superpseudodifferential Operators},
author = {Wen-Jui Huang and J. C. Shaw and H. C. Yen},
journal= {arXiv preprint arXiv:hep-th/9404179},
year = {2009}
}
Comments
19 pages (Plain TeX), NHCU-HEP-94-13