On BPS bounds in D = 4 N = 2 gauged supergravity II: General matter couplings and black hole masses

Abstract

We continue the analysis of BPS bounds started in [1], extending it to the full class of N = 2 gauged supergravity theories with arbitrary vector and hypermultiplets. We derive the general form of the asymptotic charges for asymptotically flat (M4), anti-de Sitter (AdS4), and magnetic anti-de Sitter (mAdS4) spacetimes. Some particular examples from black hole physics are given to explicitly demonstrate how AdS and mAdS masses differ when solutions with non-trivial scalar profiles are considered. © 2012 SISSA.