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.
Minimal realization of $\ell$-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation
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abstract
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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Remarks on Galilean electromagnetism
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.