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.
- Conformal Newton-Hooke algebra
- Pais-Uhlenbeck oscillator
ASJC Scopus subject areas
- Astronomy and Astrophysics
- Nuclear and High Energy Physics