### Abstract

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 language | English |
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Article number | 1550073 |

Journal | Modern Physics Letters A |

Volume | 30 |

Issue number | 13 |

DOIs | |

Publication status | Published - 30 Apr 2015 |

### Keywords

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

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Nuclear and High Energy Physics

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## Cite this

Masterov, I. (2015). New realizations of N= 2l-conformal Newton-Hooke superalgebra.

*Modern Physics Letters A*,*30*(13), [1550073]. https://doi.org/10.1142/S021773231550073X