Null vectors of the W_3 algebra

Abstract

We construct $W_3$ null vectors of a restricted class explicitly in two different forms. The method we use is an extension of that of Bauer et al.~in the Virasoro case. Our results are analogous to the formulae of Benoit and St.~Aubin for the Virasoro null vectors. We derive in the Virasoro case some alternative formulae for the same null vectors involving only the $L_{-1}$ and $L_{-2}$ modes of the Virasoro algebra. }

8 pages, LaTeX, EFI-92-50, DAMTP-92-62 (second version - slight TeX error in first version)

References in corpus (3)

• Singular Vectors of the Virasoro Algebra
• Reduction of the Knizhnik-Zamolodchikov Equation - a Way of Producing Virasoro Algebra Singular Vectors
• A2 Toda theory in reduced WZNW framework and the representations of the W algebra

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