  We present an action of ultra-relativistic electrodynamics on a flat Carroll
manifold. The model exhibits a couple of physical degrees of freedom per
space-point. We observe that the action of the conformal Carroll algebra on the
phase space is Hamiltonian in 4 space-time dimensions. Moreover the elements of
the algebra give rise to an infinite number of conserved charges and the charge
algebra is an exact realization of the kinematical algebra.
