Construction formulae for singular vectors of the topological and of the Ramond N=2 superconformal algebras
Sep, 200127 pages
Published in:
- Int.J.Mod.Phys.A 17 (2002) 4515-4541
e-Print:
- hep-th/0109184 [hep-th]
Report number:
- IMAFF-FM-01-12,
- NIKHEF-01-011
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Abstract: (arXiv)
We write down one-to-one mappings between the singular vectors of the Neveu-Schwarz N=2 superconformal algebra and 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.Note:
- 27 pages, LaTeX
- supersymmetry: algebra
- algebra: conformal
- algebra: representation
- algebra: topological
- algebra: Ramond
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