Null vectors of the W(3) algebra

Bowcock, P.; Watts, G.M.T.

doi:10.1016/0370-2693(92)91263-9

Null vectors of the W(3) algebra

P. Bowcock
(
- Chicago U., EFI
)
,
G.M.T. Watts
(
- Cambridge U.
)

Sep, 1992

7 pages

Published in:

Phys.Lett.B 297 (1992) 282-288

Published: 1992

e-Print:

hep-th/9209105 [hep-th]

DOI:

10.1016/0370-2693(92)91263-9

Report number:

EFI-92-50,
DAMTP-92-62

View in:

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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. }

algebra: W(3)
algebra: representation
algebra: Virasoro

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Figures(0)

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