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arXiv · hep-th/9207048

$\bf W_\infty$ Gravity - a Geometric Approach

Emil Nissimov·Svetlana Pacheva
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Abstract

A brief review is given of an adaptation of the coadjoint orbit method appropriate for study of models with infinite-dimensional symmetry groups. It is illustrated on several examples, including derivation of the WZNW action of induced $D=2\,$ $(N,0)\,$ supergravity. As a main application, we present the geometric action on a generic coadjoint orbit of the deformed group of area preserving diffeomorphisms. This action is precisely the anomalous effective WZNW action of $D=2 \,$ matter fields coupled to chiral $W_\infty$ gravity background. Similar actions are given which produce the {\em KP} hierarchy as on-shell equations of motion.

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Emil Nissimov, Svetlana Pacheva. 1992-07-14. $\bf W_\infty$ Gravity - a Geometric Approach. https://doi.org/10.1007/bf01083525

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