Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superintegrable Deformations of the Smorodinsky-Winternitz Hamiltonian   A constructive procedure to obtain superintegrable deformations of the
classical Smorodinsky-Winternitz Hamiltonian by using quantum deformations of
its underlying Poisson sl(2) coalgebra symmetry is introduced. Through this
example, the general connection between coalgebra symmetry and quasi-maximal
superintegrability is analysed. The notion of comodule algebra symmetry is also
shown to be applicable in order to construct new integrable deformations of
certain Smorodinsky-Winternitz systems.

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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-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
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex