Abstract
We present the minimal realization of the ℓ-conformal Galilei group in 2+1 dimensions on a single complex field. The simplest Lagrangians yield the complex PaisUhlenbeck oscillator equations. We introduce a minimal deformation of the ℓ = 1/2 conformal Galilei (a.k.a. Schrödinger) algebra and construct the corresponding invariant actions. Based on a new realization of the d = 1 conformal group, we find a massive extension of the near-horizon Kerr-dS/AdS metric.
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ArXiv ePrint: 1607.03756
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Krivonos, S., Lechtenfeld, O. & Sorin, A. Minimal realization of ℓ-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation. J. High Energ. Phys. 2016, 78 (2016). https://doi.org/10.1007/JHEP10(2016)078
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DOI: https://doi.org/10.1007/JHEP10(2016)078