Finite conformal modules over the N=2,3,4 superconformal algebras
Quantum Algebra
2009-10-31 v1
Abstract
In this paper we continue the study of representation theory of formal distribution Lie superalgebras initiated in q-alg/9706030. We study finite Verma-type conformal modules over the N=2, N=3 and the two N=4 superconformal algebras and also find explicitly all singular vectors in these modules. From our analysis of these modules we obtain a complete list of finite irreducible conformal modules over the N=2, N=3 and the two N=4 superconformal algebras.
Keywords
Cite
@article{arxiv.math/0005274,
title = {Finite conformal modules over the N=2,3,4 superconformal algebras},
author = {Shun-Jen Cheng and Ngau Lam},
journal= {arXiv preprint arXiv:math/0005274},
year = {2009}
}
Comments
36 pages, no figures, LaTeX format