Singular Vectors of the $N=2$ Superconformal Algebra

Abstract

We derive a set of recursion formulae to construct singular vectors for the $N=2$ (untwisted) algebra, by using the approach of Bauer, di Francesco, Itzykson and Zuber. Applying these formulae, we obtain explicit expressions for the charged singular vectors and for a class of uncharged singular vectors.

32 pages, LaTeX, several misprints corrected, some references and one section added. (version accepted for publication in Int. J. of Mod. Phys. A)

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