Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauging of Chern-Simons $p$-branes   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.

36
The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
2
The categories of this paper are: math
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat