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

Beatriz Gato-Rivera
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Abstract

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 Dörrzapf. 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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Beatriz Gato-Rivera. 2001-09-24. Construction Formulae for Singular Vectors of the Topological and of the Ramond N=2 Superconformal Algebras. https://doi.org/10.1142/s0217751x02010807

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