The Structure of Verma Modules over the N=2 Superconformal Algebra

Abstract

We classify degeneration patterns of Verma modules over the N=2 superconformal algebra in two dimensions. Explicit formulae are given for singular vectors that generate maximal submodules in each of the degenerate cases. The mappings between Verma modules defined by these singular vectors are embeddings; in particular, their compositions never vanish. As a by-product, we also obtain general formulae for N=2 subsingular vectors.

LaTeX 2.09, 41pp

Cited by in corpus (3)

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• Measures and generalizations of dual Littlewood identities