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.

arXiv comment17 pages. v2: clarified discussion of the BPS equations, minor corrections

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• Rotating multi-charge spindles and their microstates
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• Mass-deformed ABJM and Black Holes in AdS${}_4$
• 6D attractors and black hole microstates
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• Entropy functional and the holographic attractor mechanism
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• 4d N=2 supergravity observables from Nekrasov-like partition functions
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• Microstates of rotating AdS${}_5$ strings
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• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
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• Nernst branes from special geometry
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• Holographic c-Function
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