Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superintegrability of rational Ruijsenaars-Schneider systems and their
  action-angle duals   We explain that the action-angle duality between the rational
Ruijsenaars-Schneider and hyperbolic Sutherland systems implies immediately the
maximal superintegrability of these many-body systems. We also present a new
direct proof of the Darboux form of the reduced symplectic structure that
arises in the `Ruijsenaars gauge' of the symplectic reduction underlying this
case of action-angle duality. The same arguments apply to the BC(n)
generalization of the pertinent dual pair, which was recently studied by
Pusztai developing a method utilized in our direct calculation of the reduced
symplectic structure.

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The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: physics
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: cs