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arxiv: 1607.03756 · v2 · submitted 2016-07-13 · ✦ hep-th · gr-qc· math-ph· math.MP

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Minimal realization of ell-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation

Sergey Krivonos , Olaf Lechtenfeld , Alexander Sorin
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classification ✦ hep-th gr-qcmath-phmath.MP
keywords conformalgalileiminimalrealizationalgebracomplexdeformationgroup
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We present the minimal realization of the $\ell$-conformal Galilei group in 2+1 dimensions on a single complex field. The simplest Lagrangians yield the complex Pais-Uhlenbeck oscillator equations. We introduce a minimal deformation of the $\ell$=1/2 conformal Galilei (a.k.a. Schr\"odinger) 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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  1. Remarks on Galilean electromagnetism

    physics.class-ph 2026-01 unverdicted novelty 4.0

    Galilean electromagnetism equations with sources are invariant under the l-conformal Galilei group for arbitrary half-integer l, connecting inertial frames to accelerated ones and indicating potential instability.