Oscillators from nonlinear realizations

@article{Kozyrev2017OscillatorsFN,
  title={Oscillators from nonlinear realizations},
  author={Nikolay V. Kozyrev and Sergey Krivonos},
  journal={Journal of Physics: Conference Series},
  year={2017},
  volume={965}
}
We construct the systems of the harmonic and Pais-Uhlenbeck oscillators, which are invariant with respect to arbitrary noncompact Lie algebras. The equations of motion of these systems can be obtained with the help of the formalism of nonlinear realizations. We prove that it is always possible to choose time and the fields within this formalism in such a way that the equations of motion become linear and, therefore, reduce to ones of ordinary harmonic and Pais-Uhlenbeck oscillators. The first… 
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Meta-Schrödinger invariance

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