Static supersymmetric black holes in AdS_4 with spherical symmetry

TL;DR

This work constructs static, supersymmetric AdS$_4$ black holes with spherical horizons in $N=2$ gauged supergravity with Fayet-Iliopoulos terms. The authors derive a tractable Killing spinor ansatz that yields a 1/4-BPS configuration with running scalar fields governed by attractor-like harmonic functions, establishing horizon formation when scalars are nonconstant. They extend the framework to electric and magnetic gaugings using the embedding tensor, provide explicit one-vector multiplet examples and a mixed-frame realization, and show how these solutions lift to $N=8$ supergravity and M-theory, including a holographic mass computation and an AdS$_2\times S^2$ near-horizon geometry. The results reveal horizonful AdS$_4$ black holes with entropy dependent on both magnetic/electric charges and gravitino FI terms, offering a path toward microscopic interpretations within M-theory and broader implications for AdS black hole attractors.

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.