Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator
arXiv:2203.02338 · doi:10.1016/j.nuclphysb.2022.115846
Abstract
The "Bargmann framework" allows us to prove the equivalence of the Pais-Uhlenbeck oscillator with a spin-zero particle in a circularly polarized periodic gravitational wave. Pushing forward the symmetries (which include Carroll symmetry) of the latter, we derive conserved charges for the Pais-Uhlenbeck oscillator.
arXiv comment14 pages, version to appear in Nuclear Physics B
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