Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin versions of the complex trigonometric Ruijsenaars-Schneider model
  from cyclic quivers   We study multiplicative quiver varieties associated to specific extensions of
cyclic quivers with $m\geq 2$ vertices. Their global Poisson structure is
characterised by quasi-Hamiltonian algebras related to these quivers, which
were studied by Van den Bergh for an arbitrary quiver. We show that the spaces
are generically isomorphic to the case $m=1$ corresponding to an extended
Jordan quiver. This provides a set of local coordinates, which we use to
interpret integrable systems as spin variants of the trigonometric
Ruijsenaars-Schneider system. This generalises to new spin cases recent works
on classical integrable systems in the Ruijsenaars-Schneider family.

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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin