The Scales of Black Holes with nAdS${}_2$ Geometry

Abstract

We study nearly extreme black holes with nearly AdS${}_2$ horizon geometry in various settings inspired by string theory. Our focus is on the scales of the nAdS${}_2$ region and their relation to microscopic theory. These scales are determined by a generalization of the attractor mechanism for extremal black holes and realized geometrically as the normal derivatives along the extremal attractor flow. In some cases the scales are equivalently determined by the charge dependence of the extremal attractor by itself. Our examples include near extreme black holes in $D\ge 4$ dimensions, AdS boundary conditions, rotation, and 5D black holes on the non-BPS branch.

arXiv comment42 pages; v2: minor revisions; v3: discussion section added

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• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• Microscopic Entropy of AdS${}_3$ Black Holes Revisited
• The Phase Diagram of BPS Black Holes in AdS${}_5$
• 2D holography beyond the Jackiw-Teitelboim model
• $R^2$ corrected AdS${}_2$ holography
• How to Build a Black Hole out of Instantons
• Statistical Mechanics of Exponentially Many Low Lying States
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities