New realizations of N= 2l-conformal Newton-Hooke superalgebra

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    By applying Niederer-like transformation, we construct a representation of the N= 2l-conformal Newton-Hooke (NH) superalgebra for the case of a negative cosmological constant in terms of linear differential operators as well as its dynamical realization. Another variant of = 2 supersymmetric Pais-Uhlenbeck oscillator for a particular choice of its frequencies is proposed. The advantages of such realizations as compared to their analogues introduced in [I. Masterov, J. Math. Phys.53, 072904 (2012)], are discussed.

    Original languageEnglish
    Article number1550073
    JournalModern Physics Letters A
    Issue number13
    Publication statusPublished - 30 Apr 2015


    • Conformal Newton-Hooke algebra
    • Pais-Uhlenbeck oscillator
    • supersymmetry

    ASJC Scopus subject areas

    • Astronomy and Astrophysics
    • Nuclear and High Energy Physics

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