### Abstract

Dynamical systems which are invariant under N=1 supersymmetric extension of the l-conformal Galilei algebra are constructed. These include a free N=1 superparticle which is governed by higher derivative equations of motion and an N=1 supersymmetric Pais-Uhlenbeck oscillator for a particular choice of its frequencies. A Niederer-like transformation which links the models is proposed.

Original language | English |
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Article number | 102901 |

Journal | Journal of Mathematical Physics |

Volume | 55 |

Issue number | 10 |

DOIs | |

Publication status | Published - 22 Oct 2014 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*55*(10), [102901]. https://doi.org/10.1063/1.4898767

**Dynamical realizations of N=1 l-conformal Galilei superalgebra.** / Masterov, Ivan.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 55, no. 10, 102901. https://doi.org/10.1063/1.4898767

}

TY - JOUR

T1 - Dynamical realizations of N=1 l-conformal Galilei superalgebra

AU - Masterov, Ivan

PY - 2014/10/22

Y1 - 2014/10/22

N2 - Dynamical systems which are invariant under N=1 supersymmetric extension of the l-conformal Galilei algebra are constructed. These include a free N=1 superparticle which is governed by higher derivative equations of motion and an N=1 supersymmetric Pais-Uhlenbeck oscillator for a particular choice of its frequencies. A Niederer-like transformation which links the models is proposed.

AB - Dynamical systems which are invariant under N=1 supersymmetric extension of the l-conformal Galilei algebra are constructed. These include a free N=1 superparticle which is governed by higher derivative equations of motion and an N=1 supersymmetric Pais-Uhlenbeck oscillator for a particular choice of its frequencies. A Niederer-like transformation which links the models is proposed.

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UR - http://www.scopus.com/inward/citedby.url?scp=84910065191&partnerID=8YFLogxK

U2 - 10.1063/1.4898767

DO - 10.1063/1.4898767

M3 - Article

VL - 55

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 10

M1 - 102901

ER -