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Finite conformal modules over the N=2,3,4 superconformal algebras

Shun-Jen Cheng·Ngau Lam
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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.

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BibTeXRIS

Shun-Jen Cheng, Ngau Lam. 2000-05-29. Finite conformal modules over the N=2,3,4 superconformal algebras. https://doi.org/10.1063/1.1333698

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