Multi-charge accelerating black holes and spinning spindles

Pietro Ferrero; Matteo Inglese; Dario Martelli; James Sparks

doi:10.1103/PhysRevD.105.126001

paper

Multi-charge accelerating black holes and spinning spindles

arXiv:2109.14625 · doi:10.1103/PhysRevD.105.126001

Abstract

We construct a family of multi-dyonically charged and rotating supersymmetric AdS $_{2} \times Σ$ solutions of $D = 4$ , $N = 4$ gauged supergravity, where $Σ$ is a sphere with two conical singularities known as a spindle. We argue that these arise as near horizon limits of extremal dyonically charged rotating and accelerating supersymmetric black holes in AdS $_{4}$ , that we conjecture to exist. We demonstrate this in the non-rotating limit, constructing the accelerating black hole solutions and showing that the non-spinning spindle solutions arise as the near horizon limit of the supersymmetric and extremal sub-class of these black holes. From the near horizon solutions we compute the Bekenstein-Hawking entropy of the black holes as a function of the conserved charges, and show that this may equivalently be obtained by extremizing a simple entropy function. For appropriately quantized magnetic fluxes, the solutions uplift on $S^{7}$ , or its $N = 4$ orbifolds $S^{7} /Γ$ , to smooth supersymmetric solutions to $D = 11$ supergravity, where the entropy is expected to count microstates of the theory on $N$ M2-branes wrapped on a spinning spindle, in the large $N$ limit.

arXiv commentMinor changes, matches published version

Multi-charge accelerating black holes and spinning spindles

Abstract

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