Universal AdS black holes in theories with sixteen supercharges and their microstates

Abstract

We provide a universal microscopic counting for the microstates of the asymptotically AdS black holes and black strings that arise as solutions of the half-maximal gauged supergravity in four and five dimensions. These solutions can be embedded in all M-theory and type II string backgrounds with an AdS vacuum and sixteen supercharges and provide an infinite set of examples dual to $\mathcal{N}=2$ and $\mathcal{N}=4$ conformal field theories in four and three dimensions, respectively. The counting is universal and it is performed by either studying the large $N$ limit of the relevant supersymmetric index of the dual field theory or by using the charged Cardy formula.

6 pages, v2: references added

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• Rotating multi-charge spindles and their microstates
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• 4d N=2 supergravity observables from Nekrasov-like partition functions
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• The superconformal index of $\mathcal{N}=4$ $USp(2N_c)$ and $SO(N_c)$ SYM as a matrix integral
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• Expanding on the Cardy-like limit of the superconformal index of 4d $\mathcal{N}=1$ ABCD SCFTs
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Kerr-Newman black holes from $\mathcal{N}=1^{\ast }$
• On the planar limit of 3d $T_{\rho }^{\sigma }[SU(N)]$