W-Strings on Curved Backgrounds

Details W-Strings on Curved Backgrounds W-Strings on Curved Backgrounds

1996-01-26

arxiv.org/abs/hep-th/9601144v2

Mod.Phys.Lett.A12:501-510,1997

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex, no figures. Revised version (the incorrect result following from a wrong interpretation of a vielbein constra

Scientific paper

10.1142/S0217732397000522

We discuss a canonical formalism method for constructing actions describing propagation of W-strings on curved backgrounds. The method is based on the construction of a representation of the W-algebra in terms of currents made from the string coordinates and the canonically conjugate momenta. We construct such a representation for a W_3-string propagating in the background metric with one flat direction by using a simple ansatz for the W-generators where each generator is a polynomial of the canonical currents and the veilbeins. In the case of a general background we show that the simple polynomial ansatz fails, and terms containing the veilbein derivatives must be added.

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