Dynamical realizations of \(l\)-conformal Newton-Hooke group

DOI10.1016/J.PHYSLETB.2013.04.054zbMATH Open1311.81141arXiv1303.3419OpenAlexW1974306724MaRDI QIDQ2345000

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Publication date: 19 May 2015

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Abstract: The method of nonlinear realizations and the technique previously developed in arXiv:1208.1403 are used to construct a dynamical system without higher derivative terms, which holds invariant under the l-conformal Newton-Hooke group. A configuration space of the model involves coordinates, which parametrize a particle moving in d spatial dimensions and a conformal mode, which gives rise to an effective external field.The dynamical system describes a generalized multi-dimensional oscillator, which undergoes accelerated/decelerated motion in an ellipse in accord with evolution of the conformal mode. Higher derivative formulations are discussed as well. It is demonstrated that the multi-dimensional Pais-Uhlenbeck oscillator enjoys the l=3/2-conformal Newton-Hooke symmetry for a particular choice of its frequencies.

Full work available at URL: https://arxiv.org/abs/1303.3419

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