### Abstract

The method of nonlinear realizations is applied to the l-conformal Galilei algebra to construct a dynamical system without higher derivative terms in the equations of motion. A configuration space of the model involves coordinates, which parametrize particles in d spatial dimensions, and a conformal mode, which gives rise to an effective external field. It is shown that trajectories of the system can be mapped into those of a set of decoupled oscillators in d dimensions.

Original language | English |
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Pages (from-to) | 212-227 |

Number of pages | 16 |

Journal | Nuclear Physics B |

Volume | 866 |

Issue number | 2 |

DOIs | |

Publication status | Published - 11 Jan 2013 |

### Keywords

- Conformal Galilei algebra

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Galajinsky, A., & Masterov, I. V. (2013). Dynamical realization of l-conformal Galilei algebra and oscillators.

*Nuclear Physics B*,*866*(2), 212-227. https://doi.org/10.1016/j.nuclphysb.2012.09.004