Carroll in Shallow Water
High Energy Physics - Theory
2024-11-08 v1 Fluid Dynamics
Abstract
We discover a surprising connection between Carrollian symmetries and hydrodynamics in the shallow water approximation. Carrollian symmetries arise in the speed of light going to zero limit of relativistic Poincar\'e symmetries. Using a recent gauge theoretic description of shallow water wave equations we find that the actions corresponding to two different waves, viz. the so called flat band solution and the Poincar\'e waves map exactly to the actions of the electric and magnetic sectors of Carrollian electrodynamics.
Cite
@article{arxiv.2411.04190,
title = {Carroll in Shallow Water},
author = {Arjun Bagchi and Aritra Banerjee and Saikat Mondal and Sayantan Sarkar},
journal= {arXiv preprint arXiv:2411.04190},
year = {2024}
}
Comments
7 pages including a supplement, 3 figures. Comments welcome!