Abstract
Performing 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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ArXiv ePrint: 1610.02499
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Krivonos, S., Nersessian, A. SU(1,2) invariance in two-dimensional oscillator. J. High Energ. Phys. 2017, 6 (2017). https://doi.org/10.1007/JHEP02(2017)006
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DOI: https://doi.org/10.1007/JHEP02(2017)006