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}
}
• Published 8 October 2016
• Physics, Mathematics
• Journal of High Energy Physics
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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