On free Lie algebras and particles in electro-magnetic fields
High Energy Physics - Theory
2019-05-31 v2
Abstract
The Poincar\'e algebra can be extended (non-centrally) to the Maxwell algebra and beyond. These extensions are relevant for describing particle dynamics in electro-magnetic backgrounds and possibly including the backreaction due the presence of multipoles. We point out a relation of this construction to free Lie algebras that gives a unified description of all possible kinematic extensions, leading to a symmetry algebra that we call Maxwell. A specific dynamical system with this infinite symmetry is constructed and analysed.
Keywords
Cite
@article{arxiv.1705.05854,
title = {On free Lie algebras and particles in electro-magnetic fields},
author = {Joaquim Gomis and Axel Kleinschmidt},
journal= {arXiv preprint arXiv:1705.05854},
year = {2019}
}
Comments
1+27 pages. Mathematica notebook as ancillary file. v2: Added reference, JHEP version