Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hidden symmetries of integrable conformal mechanical systems   We split the generic conformal mechanical system into a "radial" and an
"angular" part, where the latter is defined as the Hamiltonian system on the
orbit of the conformal group, with the Casimir function in the role of the
Hamiltonian. We reduce the analysis of the constants of motion of the full
system to the study of certain differential equations on this orbit. For
integrable mechanical systems, the conformal invariance renders them
superintegrable, yielding an additional series of conserved quantities
originally found by Wojciechowski in the rational Calogero model. Finally, we
show that, starting from any N=4 supersymmetric "angular" Hamiltonian system
one may construct a new system with full N=4 superconformal D(1,2;\alpha)
symmetry.

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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat