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arXiv · 1208.1403

Dynamical realization of l-conformal Galilei algebra and oscillators

Anton Galajinsky·Ivan Masterov
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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.

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Anton Galajinsky, Ivan Masterov. 2012-08-11. Dynamical realization of l-conformal Galilei algebra and oscillators. https://doi.org/10.1016/j.nuclphysb.2012.09.004

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