The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory

Abstract

We classify the necessary and sufficient conditions to obtain the near-horizon geometry of extremal supersymmetric rotating black holes embedded in 11d supergravity. Such rotating black holes admit an AdS${}_2$ near-horizon geometry which is fibered by the transverse spacetime directions. Despite their clear interest to understanding the entropy of rotating black holes, these solutions have evaded all previous supersymmetric classification programs due to the non-trivial fibration structure. In this paper we allow for the most general fibration over AdS${}_2$ with a flux configuration permitting rotating M2-branes. Using G-structure techniques we rewrite the conditions for supersymmetry in terms of differential equations on an eight-dimensional balanced space. The 9d compact internal space is a U$(1)$-fibration over this 8d base. The geometry is constrained by a master equation reminiscent of the one found in the non-rotating case. We give a Lagrangian from which the equations of motion may be derived, and show how the asymptotically AdS${}_4$ electrically charged Kerr-Newman black hole in 4d $\mathcal{N}=2$ supergravity is embedded in the classification. In addition, we present the conditions for the near-horizon geometry of rotating black strings in Type IIB by using dualities with the 11d setup.

arXiv comment31 pages plus appendix

References in corpus (59)

• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• The Exact Superconformal R-Symmetry Maximizes a
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• The Exact Superconformal R-Symmetry Extremizes Z
• Near-horizon symmetries of extremal black holes
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• The Geometry of D=11 Killing Spinors
• Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS${}_5$ black holes
• Sasaki-Einstein Manifolds and Volume Minimisation
• The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Classification of near-horizon geometries of extremal black holes
• Supersymmetry of Anti-de Sitter Black Holes
• Exact two-dimensional superconformal R-symmetry and c-extremization
• An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$
• AdS(3) Solutions of IIB Supergravity from D3-branes
• Solitonic Black Holes in Gauged N=2 Supergravity
• The Geometry of D=11 Null Killing Spinors
• Dyonic AdS black holes in maximal gauged supergravity
• The BPS limit of rotating AdS black hole thermodynamics
• Entropy function and attractors for AdS black holes
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Gluing gravitational blocks for AdS black holes
• Comments on AdS2 solutions of D=11 Supergravity
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• A geometric dual of $c$-extremization
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• Superconformal indices at large $N$ and the entropy of AdS${}_5$ $\times$ SE${}_5$ black holes
• Universal Spinning Black Holes and Theories of Class $\mathcal{R}$
• AdS Solutions Through Transgression
• Rotating Black Hole Entropy from M5-branes
• F-theory and AdS_3/CFT_2 (2,0)
• Entropy functions of BPS black holes in AdS${}_4$ and AdS${}_6$
• A note on the entropy of rotating BPS AdS${}_7\times S^4$ black holes
• The large-$N$ limit of the 4d $\mathcal{N}=1$ superconformal index
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• Black hole entropy function for toric theories via Bethe Ansatz
• On BPS bounds in D=4 N=2 gauged supergravity
• Geometry of $\mathcal{I}$-extremization and black holes microstates
• Matter-coupled supersymmetric Kerr-Newman-AdS${}_4$ black holes
• Toric geometry and the dual of $c$-extremization
• AdS${}_5$ Black Hole Entropy near the BPS Limit
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers
• AdS${}_7$ Black-Hole Entropy and 5D $\mathcal{N}=2$ Yang-Mills
• Fibred GK geometry and supersymmetric $AdS$ solutions
• Black holes with baryonic charge and $\mathcal{I}$-extremization
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Microstates of rotating AdS${}_5$ strings
• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
• Comments on Charges and Near-Horizon Data of Black Rings
• Index theory and dynamical symmetry enhancement of M-horizons
• On AdS${}_3$ solutions of Type IIB
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• $\mathcal{I}$/$c$-Extremization in M/F-Duality
• Two remarks on near-horizon geometries
• Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes

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