Dynamical realization of l-conformal Galilei algebra and oscillators

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• 作者：Anton Galajinsky ; Ivan Masterov
• 关键词：Conformal Galilei algebra
• 刊名：Nuclear Physics B
• 出版年：2013
• 出版时间：11 January, 2013
• 年：2013
• 卷：866
• 期：2
• 页码：212-227
• 全文大小：195 K

文摘

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.