Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-08-05
Int. J. Mod. Phys. A9 (1994) 3367-3376
Physics
High Energy Physics
High Energy Physics - Theory
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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