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

2016, October 17
Sergey Krivonos, Olaf Lechtenfeld and Alexander Sorin
JHEP 1610 (2016)

We present the minimal realization of the -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 =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.