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

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

2000-05-29

arxiv.org/abs/math/0005274v1

J. Math. Phys. 42 (2001), No. 2, 906-933

Mathematics

Quantum Algebra

36 pages, no figures, LaTeX format

Scientific paper

10.1063/1.1333698

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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