Renormalization of spin-one asymptotic charges in AdS$_D$
Andrea Campoleoni, Arnaud Delfante, Dario Francia, Carlo Heissenberg
TL;DR
This paper develops a systematic method to compute finite boundary charges for Maxwell fields in Anti de Sitter spaces of any dimension, using renormalized actions and symplectic potentials, applicable in different coordinate systems.
Contribution
It provides a general framework for renormalizing asymptotic charges in AdS backgrounds across all dimensions, including explicit formulas and coordinate system analysis.
Findings
Finite boundary charges derived for Maxwell fields in AdS.
Method applicable to any dimension D.
Comparison of Poincaré and Bondi coordinates for charge computation.
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 Poincar\'e and Bondi coordinates, the former allowing us to control the systematics for arbitrary , the latter being better suited for a smooth flat limit.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Cosmology and Gravitation Theories