Static BPS Black Holes in AdS4 with General Dyonic Charges

TL;DR

This paper derives the general analytic solutions for static BPS AdS4 black holes with dyonic charges in N=2 supergravity, revealing new features like a varying supersymmetry phase and confirming all such horizons can originate from these solutions.

Contribution

It provides the first complete analytic form of BPS AdS4 black hole solutions with general dyonic charges in N=2 supergravity, including a novel phase variation of the supersymmetry parameter.

Findings

Horizon as a double root of a quartic polynomial.

Solutions have 2n_v independent parameters with algebraic charge constraints.

Uplift to M-theory describes wrapped M2-branes with internal angular momentum.

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 $AdS_2\times \Sigma_g$. 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.