Dynamical realization of l-conformal Galilei algebra and oscillators
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Publication:1950119
DOI10.1016/J.NUCLPHYSB.2012.09.004zbMATH Open1262.37024arXiv1208.1403OpenAlexW1988279990MaRDI QIDQ1950119
Author name not available (Why is that?)
Publication date: 8 May 2013
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1208.1403
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