Dynamics of spinning particles in pp-wave spacetimes

TL;DR

This paper investigates the behavior of spinning particles in pp-wave spacetimes, focusing on analytical solutions and their relation to electromagnetic fields via gauge-gravity duality.

Contribution

It introduces new analytical methods for studying spinning particles in pp-waves using specific spin conditions and Hamiltonian formalisms, linking gravitational and electromagnetic dynamics.

Findings

Analytical solutions for spinning particles in pp-waves.

Identification of constants of motion related to conformal fields.

Establishment of a gauge-gravity duality connection.

Abstract

In this work, we study the dynamics of a spinning particle in pp-waves spacetimes; in particular, plane gravitational waves and impulsive shockwaves. W pay special attention to analytical considerations; this is possible due to an appropriate choice of the spin supplementary condition, various Hamiltonian formalisms (including a non-minimal one) and constants of motion associated with conformal fields. Based on these results, we establish a relation between the motions of a spinning particle in pp-waves and electromagnetic fields suggested by a gauge-gravity duality.