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

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

1997-04-14

arxiv.org/abs/hep-th/9704111v3

Commun.Math.Phys. 195 (1998) 129-173

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2.09, 41pp

Scientific paper

10.1007/s002200050383

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.

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