Gauging of Chern-Simons $p$-branes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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HarvmacTeX, 9 pages, report IC/93/236

Scientific paper

The Chern-Simons membranes and in general the Chern-Simons p-branes moving in $D$-dimensional target space admit an infinite set of secondary constraints. With respect to the Poisson bracket these constraints form a closed algebra which contains classical \ $W_{1+\infty }$ \ algebra in $p$-dimensions as a subalgebra. Corresponding gauged theory in the phase-space is constructed in a Hamilton gauge as an analog of the ordinary $W$-gravity.

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