Dynamical realization of l-conformal Galilei algebra and oscillators

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38 Citations (Scopus)


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 languageEnglish
Pages (from-to)212-227
Number of pages16
JournalNuclear Physics B
Issue number2
Publication statusPublished - 11 Jan 2013


  • Conformal Galilei algebra

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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