Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superintegrability on N-dimensional curved spaces: Central potentials,
  centrifugal terms and monopoles   The N-dimensional Hamiltonian H formed by a curved kinetic term (depending on
a function f), a central potential (depending on a function U), a Dirac
monopole term, and N centrifugal terms is shown to be quasi-maximally
superintegrable for any choice of the functions f and U. This result is proven
by making use of the underlying sl(2,R)-coalgebra symmetry of H in order to
obtain a set of (2N-3) functionally independent integrals of the motion, that
are explicitly given. Such constants of the motion are "universal" since all of
them are independent of both f and U. This Hamiltonian describes the motion of
a particle on any ND spherically symmetric curved space (whose metric is
specified by a function f) under the action of an arbitrary central potental U,
and includes simultaneously a monopole-type contribution together with N
centrifugal terms that break the spherical symmetry. Moreover, we show that two
appropriate choices for U provide the "intrinsic" oscillator and the KC
potentials on these curved manifolds. As a byproduct, the MIC-Kepler, the
Taub-NUT and the so called multifold Kepler systems are shown to belong to this
class of superintegrable Hamiltonians, and new generalizations thereof are
obtained. The Kepler and oscillator potentials on N-dimensional generalizations
of the four Darboux surfaces are discussed as well.

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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
16
The categories of this paper are: stat
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The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex