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

TL;DR

This paper extends the analysis of BPS bounds in N=2 gauged supergravity to include general matter couplings, deriving asymptotic charges for various spacetime asymptotics and illustrating differences in black hole masses with scalar fields.

Contribution

It provides the most general form of BPS bounds in N=2 gauged supergravity with arbitrary matter couplings and explores their implications for black hole masses in different asymptotic backgrounds.

Findings

Derived general asymptotic charges for various spacetime geometries.

Demonstrated differences in black hole masses with scalar profiles in AdS and mAdS.

Extended BPS bound analysis to full matter-coupled N=2 gauged supergravity.

Abstract

We continue the analysis of BPS bounds started in arXiv:1110.2688, 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 (M_4), anti-de Sitter (AdS_4), and magnetic anti-de Sitter (mAdS_4) 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.