A note on non-Lorentzian duality symmetries
Abstract
We work out non-Lorentzian dual actions for electromagnetism and linearised gravity, both in the Carrollian and Galilean cases. This is done in the same way as for Lorentzian theories, by first constructing a parent action that reduces to a pair of dual actions. In the case of Maxwell theory, each pair of dual actions consists of the known `electric' and `magnetic' limits of the original theories, showing that these limits are related by an off-shell electromagnetic duality. We have obtained dualities between on one hand the non-Lorentzian contractions of linearised gravity in second-order form, and on the other hand the theories one obtains by gauging the corresponding kinematic algebras. In the Carrollian contraction, these dual actions reproduce the known `electric' and `magnetic' Carrollian theories of gravity, and we find a similar result in the Galilean case.
Cite
@article{arxiv.2409.12279,
title = {A note on non-Lorentzian duality symmetries},
author = {Josh A. O'Connor and Simon Pekar},
journal= {arXiv preprint arXiv:2409.12279},
year = {2024}
}
Comments
27 pages, 2 figures. References added