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

Sergey Krivonos, Armen Nersessian

    Research output: Contribution to journal › Article

    2 Citations (Scopus)

    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.

    Original languageEnglish
    Article number6
    JournalJournal of High Energy Physics
    Volume2017
    Issue number2
    DOIs
    Publication statusPublished - 1 Feb 2017

    Fingerprint

    invariance
    oscillators
    symmetry
    equivalence
    generators

    Keywords

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

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    SU(1,2) invariance in two-dimensional oscillator. / Krivonos, Sergey; Nersessian, Armen.

    In: Journal of High Energy Physics, Vol. 2017, No. 2, 6, 01.02.2017.

    Research output: Contribution to journal › Article

    Krivonos, S & Nersessian, A 2017, 'SU(1,2) invariance in two-dimensional oscillator', Journal of High Energy Physics, vol. 2017, no. 2, 6. https://doi.org/10.1007/JHEP02(2017)006
    Krivonos S, Nersessian A. SU(1,2) invariance in two-dimensional oscillator. Journal of High Energy Physics. 2017 Feb 1;2017(2). 6. https://doi.org/10.1007/JHEP02(2017)006
    Krivonos, Sergey ; Nersessian, Armen. / SU(1,2) invariance in two-dimensional oscillator. In: Journal of High Energy Physics. 2017 ; Vol. 2017, No. 2.
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