New realizations of N=2 l-conformal Newton-Hooke superalgebra
arXiv:1412.1751 · doi:10.1142/S021773231550073X
Abstract
By applying Niederer--like transformation, we construct a representation of the N=2 l-conformal Newton-Hooke superalgebra for the case of a negative cosmological constant in terms of linear differential operators as well as its dynamical realization. Another variant of N=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 [J. Math. Phys. 53 (2012) 072904], [J. Math. Phys. 56 (2015) 022902] are discussed.
V2: 15 pages, typos corrected. Published version
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