### 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 |
---|---|

Article number | 1550073 |

Journal | Modern Physics Letters A |

Volume | 30 |

Issue number | 13 |

DOIs | |

Publication status | Published - 30 Apr 2015 |

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### Keywords

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

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Nuclear and High Energy Physics

### Cite this

*Modern Physics Letters A*,

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

**New realizations of N= 2l-conformal Newton-Hooke superalgebra.** / Masterov, Ivan.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 30, no. 13, 1550073. https://doi.org/10.1142/S021773231550073X

}

TY - JOUR

T1 - New realizations of N= 2l-conformal Newton-Hooke superalgebra

AU - Masterov, Ivan

PY - 2015/4/30

Y1 - 2015/4/30

N2 - 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.

AB - 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.

KW - Conformal Newton-Hooke algebra

KW - Pais-Uhlenbeck oscillator

KW - supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=84928494152&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84928494152&partnerID=8YFLogxK

U2 - 10.1142/S021773231550073X

DO - 10.1142/S021773231550073X

M3 - Article

VL - 30

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 13

M1 - 1550073

ER -