Renormalization of spin-one asymptotic charges in AdS${}_D$

Abstract

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 Poincaré and Bondi coordinates, the former allowing us to control the systematics for arbitrary $D$, the latter being better suited for a smooth flat limit.

46 pages, 2 figures; V2: clarifications and references added, a few misprints corrected; V3: misprints corrected