Construction Formulae for Singular Vectors of the Topological and of the Ramond N=2 Superconformal Algebras

Details Construction Formulae for Singular Vectors of the Topological and of the Ramond N=2 Superconformal Algebras Construction Formulae for Singular Vectors of the Topological and of the Ramond N=2 Superconformal Algebras

2001-09-24

arxiv.org/abs/hep-th/0109184v1

Int.J.Mod.Phys. A17 (2002) 4515-4541

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, LaTeX

Scientific paper

10.1142/S0217751X02010807

We write down one-to-one mappings between the singular vectors of the Neveu-Schwarz N=2 superconformal algebra and $16 + 16$ types of singular vectors of the Topological and of the Ramond N=2 superconformal algebras. As a result one obtains construction formulae for the latter using the construction formulae for the Neveu-Schwarz singular vectors due to D\"orrzapf. The indecomposable singular vectors of the Topological and of the Ramond N=2 algebras (`no-label' and `no-helicity' singular vectors) cannot be mapped to singular vectors of the Neveu-Schwarz N=2 algebra, but to {\it subsingular} vectors, for which no construction formulae exist.

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