Static supersymmetric black holes in AdS_4 with spherical symmetry

TL;DR

This paper thoroughly analyzes static supersymmetric AdS_4 black holes with spherical symmetry in N=2 gauged supergravity, revealing conditions for horizon formation, scalar field behavior, and embedding in higher theories.

Contribution

It provides a detailed investigation of BPS constraints, horizon conditions, and scalar configurations for supersymmetric AdS_4 black holes, extending previous work and embedding solutions in N=8 supergravity.

Findings

Existence of horizons linked to non-constant scalar fields

Black hole charges depend on electromagnetic gaugings

Embedding in N=8 supergravity and M-theory achieved

Abstract

We elaborate further on the static supersymmetric AdS_4 black holes found in arXiv:0911.4926, investigating thoroughly the BPS constraints for spherical symmetry in N = 2 gauged supergravity in the presence of Fayet-Iliopoulos terms. We find Killing spinors that preserve two of the original eight supercharges and investigate the conditions for genuine black holes free of naked singularities. The existence of a horizon is intimately related with the requirement that the scalars are not constant, but given in terms of harmonic functions in analogy to the attractor flow in ungauged supergravity. The black hole charges depend on the choice of the electromagnetic gauging, with only magnetic charges for purely electric gaugings. Finally we show how these black holes can be embedded in N = 8 supergravity and thus in M-theory.