Null vectors of the W_3 algebra

Details Null vectors of the W_3 algebra Null vectors of the W_3 algebra

1992-09-25

arxiv.org/abs/hep-th/9209105v1

Phys.Lett. B297 (1992) 282-288

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(92)91263-9

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. }

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