Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chern-Simons $p$-Branes and $p$-Dimensional Classical $W$-Algebras   It is shown that the generalized (with nonpolynomial Lagrangian) Chern-Simons
membranes and in general $p$-branes moving in $D$-dimensional target space
admit an infinite set of secondary constraints. With respect to the Poisson
bracket these constraints satisfy closed algebra containing $p$-dimensional
classical $W$ algebra as a subalgebra. In the case when the target space
dimension $D$ is finite the theory is topological.

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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: math
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The categories of this paper are: plasm-ph