Superconformal Quantum Mechanics of Small Black Holes

Abstract

Recently, Gaiotto, Strominger and Yin have proposed a holographic dual description for the near-horizon physics of certain N=2 black holes in terms of the superconformal quantum mechanics on D0-branes in the attractor geometry. We provide further evidence for their proposal by applying it to the case of `small' black holes which have vanishing horizon area in the leading supergravity approximation. We consider 2-charge black holes in type IIA on $T^2\times M$, where $M$ can be either $K_3$ or $T^4$, made up out of D0-branes and D4-branes wrapping $M$. We construct the corresponding superconformal quantum mechanics and show that the asymptotic growth of chiral primaries exactly matches with the known entropy of these black holes. The state-counting problem reduces to counting lowest Landau levels on $T^2$ and Dolbeault cohomology classes on $M$.

Latex, 16 pages; v2: minor corrections, references added, published version

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Cited by in corpus (11)

• Quantizing N=2 Multicenter Solutions
• A bound on the entropy of supergravity?
• Extremal single-charge small black holes: Entropy function analysis
• Two-charge small black hole entropy: String-loops and multi-strings
• At the horizon of a supersymmetric AdS_5 black hole: Isometries and half-BPS giants
• Branes wrapping Black Holes
• Supersymmetric D-branes in the D1-D5 background
• Near-horizon microstates of the D1-D5-P black hole
• Quantum fluctuations in the DGP model and the size of the cross-over scale
• Microstates and near-horizon D-brane probes
• Small Black Holes and Superconformal Quantum Mechanics