Static BPS Black Holes in AdS4 with General Dyonic Charges

Abstract

We complete the study of static BPS, asymptotically AdS${}_4$ black holes within N=2 FI-gauged supergravity and where the scalar manifold is a homogeneous very special Kahler manifold. We find the analytic form for the general solution to the BPS equations, the horizon appears as a double root of a particular quartic polynomial whereas in previous work this quartic polynomial further factored into a pair of double roots. A new and distinguishing feature of our solutions is that the phase of the supersymmetry parameter varies throughout the black hole. The general solution has $2n_v$ independent parameters; there are two algebraic constraints on $2n_v+2$ charges, matching our previous analysis on BPS solutions of the form $Ad{S}_2\times {\Sigma }_g$. As a consequence we have proved that every BPS geometry of this form can arise as the horizon geometry of a BPS AdS${}_4$ black hole. When specialized to the STU-model our solutions uplift to M-theory and describe a stack of M2-branes wrapped on a Riemman surface in a Calabi-Yau fivefold with internal angular momentum.

17 pages. v2: clarified discussion of the BPS equations, minor corrections

References in corpus (8)

• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• BPS Black Holes
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• Rotating BPS black holes in matter-coupled AdS(4) supergravity
• On the non-BPS first order flow in N=2 U(1)-gauged Supergravity
• Static BPS black holes in U(1) gauged supergravity
• Heating up branes in gauged supergravity

Cited by in corpus (7)

• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Abelian Hypermultiplet Gaugings and BPS Vacua in N = 2 Supergravity
• Wilson lines for AdS_5 black strings
• Rotating black holes in the FI-gauged $N=2$, $D=4$ ${\overline{\mathbb{C}\text{P}}}^n$ model
• Supersymmetric black holes with spiky horizons
• Black hole attractors and U(1) Fayet-Iliopoulos gaugings: analysis and classification
• Holographic c-Function