Memory Effect and Carroll Symmetry for Gravitational Waves

Explore the intriguing connection between gravitational waves and Carroll symmetry in this 52-minute talk by Peter Horvathy at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the potential method of detecting gravitational waves through particle displacement observation. Examine Souriau's 1973 approach to integrating geodesic equations using the 5-parameter isometries of plane gravitational waves. Discover how these isometries relate to Lévy-Leblond's 1965 "Carroll" group in 2+1 dimensions without rotations, acting as a symmetry for particles. Learn how associated conserved quantities determine particle trajectories. Gain insights from this collaborative work involving C. Duval, M. Elbistan, G. W. Gibbons, and P.M. Zhang, presented as part of the Thematic Programme on "Carrollian Physics and Holography" at ESI in April 2024.