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arxiv: hep-th/0109184 · v1 · pith:5IB4B5PTnew · submitted 2001-09-24 · ✦ hep-th · math-ph· math.MP· math.QA· math.RT

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

classification ✦ hep-th math-phmath.MPmath.QAmath.RT
keywords vectorssingularconstructionformulaealgebrasneveu-schwarzramondsuperconformal
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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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