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

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 |

### Fingerprint

### Keywords

- Conformal Galilei algebra

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

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

**Dynamical realization of l-conformal Galilei algebra and oscillators.** / Galajinsky, Anton; Masterov, Ivan Victorovich.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 866, no. 2, pp. 212-227. https://doi.org/10.1016/j.nuclphysb.2012.09.004

}

TY - JOUR

T1 - Dynamical realization of l-conformal Galilei algebra and oscillators

AU - Galajinsky, Anton

AU - Masterov, Ivan Victorovich

PY - 2013/1/11

Y1 - 2013/1/11

N2 - 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.

AB - 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.

KW - Conformal Galilei algebra

UR - http://www.scopus.com/inward/record.url?scp=84866490653&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866490653&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2012.09.004

DO - 10.1016/j.nuclphysb.2012.09.004

M3 - Article

AN - SCOPUS:84866490653

VL - 866

SP - 212

EP - 227

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 2

ER -