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

Sergey Krivonos, Armen Nersessian

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)


    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.

    Original languageEnglish
    Article number6
    JournalJournal of High Energy Physics
    Issue number2
    Publication statusPublished - 1 Feb 2017


    • Conformal and W Symmetry
    • Global Symmetries
    • Space-Time Symmetries

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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