W-Strings on Curved Backgrounds
Abstract
Description
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.
10 pages, Latex, no figures. Revised version (the incorrect result following from a wrong interpretation of a vielbein constraint has been corrected)
10 pages, Latex, no figures. Revised version (the incorrect result following from a wrong interpretation of a vielbein constraint has been corrected)