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

Sergey Krivonos, Armen Nersessian

    Research output: Contribution to journalArticle

    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 journalArticle

    Krivonos, Sergey ; Nersessian, Armen. / SU(1,2) invariance in two-dimensional oscillator. In: Journal of High Energy Physics. 2017 ; Vol. 2017, No. 2.
    @article{b728a59cd4f5474e978e47b724b0f379,
    title = "SU(1,2) invariance in two-dimensional oscillator",
    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.",
    keywords = "Conformal and W Symmetry, Global Symmetries, Space-Time Symmetries",
    author = "Sergey Krivonos and Armen Nersessian",
    year = "2017",
    month = "2",
    day = "1",
    doi = "10.1007/JHEP02(2017)006",
    language = "English",
    volume = "2017",
    journal = "Journal of High Energy Physics",
    issn = "1126-6708",
    publisher = "Springer Verlag",
    number = "2",

    }

    TY - JOUR

    T1 - SU(1,2) invariance in two-dimensional oscillator

    AU - Krivonos, Sergey

    AU - Nersessian, Armen

    PY - 2017/2/1

    Y1 - 2017/2/1

    N2 - 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.

    AB - 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.

    KW - Conformal and W Symmetry

    KW - Global Symmetries

    KW - Space-Time Symmetries

    UR - http://www.scopus.com/inward/record.url?scp=85013825575&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85013825575&partnerID=8YFLogxK

    U2 - 10.1007/JHEP02(2017)006

    DO - 10.1007/JHEP02(2017)006

    M3 - Article

    VL - 2017

    JO - Journal of High Energy Physics

    JF - Journal of High Energy Physics

    SN - 1126-6708

    IS - 2

    M1 - 6

    ER -