hide
Free keywords:
High Energy Physics - Theory, hep-th
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${}_\infty$. A
specific dynamical system with this infinite symmetry is constructed and
analysed.
