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We continue the analysis of BPS bounds started in arXiv:1110.2688, extendingit to the full class of N=2 gauged supergravity theories with arbitrary vectorand hypermultiplets. We derive the general form of the asymptotic charges forasymptotically flat (M_4), anti-de Sitter (AdS_4), and magnetic anti-de Sitter(mAdS_4) spacetimes. Some particular examples from black hole physics are givento explicitly demonstrate how AdS and mAdS masses differ when solutions withnon-trivial scalar profiles are considered.

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