  We study the renormalized action and the renormalized presymplectic potential
for Maxwell fields on Anti de Sitter backgrounds of any dimensions. We then use
these results to explicitly derive finite boundary charges for angle-dependent
asymptotic symmetries. We consider both Poincar\'e and Bondi coordinates, the
former allowing us to control the systematics for arbitrary $D$, the latter
being better suited for a smooth flat limit.
