Geometrical action for $w_\infty$ algebra as a reduced symplectic Chern-Simons theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, LaTeX

Scientific paper

10.1016/0370-2693(94)91526-1

The geometric action on a certain orbit of the group of the area-preserving
diffeomorphisms is considered, and it is shown, that it coincides with a
special reduction of the three-dimensional Chern-Simons theory, under which
group and space coordinates are identified.

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