Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator

TL;DR

This paper demonstrates the equivalence between the Pais-Uhlenbeck oscillator and a spin-zero particle in a circularly polarized gravitational wave using the Bargmann framework, and derives conserved charges by exploiting symmetries.

Contribution

It establishes a novel connection between the Pais-Uhlenbeck oscillator and gravitational wave physics, extending symmetry analysis to derive conserved quantities.

Findings

Equivalence between Pais-Uhlenbeck oscillator and gravitational wave system

Derivation of conserved charges from symmetries including Carroll symmetry

Application of the Bargmann framework to oscillator-gravity correspondence

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.