SU(1,2) invariance in two-dimensional oscillator

@article{Krivonos2016SU12II,
  title={SU(1,2) invariance in two-dimensional oscillator},
  author={Sergey Krivonos and Armen Nersessian},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2017},
  pages={1-12}
}
A bstractPerforming the Hamiltonian analysis we explicitly established the canonical equivalence of the deformed oscillator, constructed in arXiv:1607.03756, with the ordinary one. As an immediate consequence, we proved that the SU(1, 2) symmetry is the dynamical symmetry of the ordinary two-dimensional oscillator. The characteristic feature of this SU(1, 2) symmetry is a non-polynomial structure of its generators written in terms of the oscillator variables. 
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