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arXiv · hep-th/9601144

W-Strings on Curved Backgrounds

A. Mikovic·B. Sazdovic
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Abstract

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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A. Mikovic, B. Sazdovic. 1996-12-04. W-Strings on Curved Backgrounds. https://doi.org/10.1142/s0217732397000522

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