A Farey Tail for Attractor Black Holes
arXiv:hep-th/0608059 · doi:10.1088/1126-6708/2006/11/024
Abstract
The microstates of 4d BPS black holes in IIA string theory compactified on a Calabi-Yau manifold are counted by a (generalized) elliptic genus of a (0,4) conformal field theory. By exploiting a spectral flow that relates states with different charges, and using the Rademacher formula, we find that the elliptic genus has an exact asymptotic expansion in terms of semi-classical saddle-points of the dual supergravity theory. This generalizes the known "Black Hole Farey Tail" of [1] to the case of attractor black holes.
36 pages, 3 figures, note added
References in corpus (1)
Cited by in corpus (21)
- Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
- Ads(3)/CFT(2) to Ads(2)/CFT(1)
- BPS Black Holes
- Lectures on black holes and the AdS_3 / CFT_2 correspondence
- Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions
- AdS_3 Partition Functions Reconstructed
- Large D-instanton effects in string theory
- Quantum Entanglement of Baby Universes
- Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity
- Thermal AdS(3), BTZ and competing winding modes condensation
- Examples of M5-Brane Elliptic Genera
- Supersymmetric black holes in string theory
- Ample D4-D2-D0 Decay
- Cargese lectures on string theory with eight supercharges
- The Spectra of Supersymmetric States in String Theory
- A Comment on Quantum Distribution Functions and the OSV Conjecture
- More Rings to rule them all : Fragmentation, 4D/5D and Split-Spectral Flows
- Black holes and balanced metrics
- On the space of elliptic genera
- Geometry As Seen By String Theory
- Geometric Transition as a Change of Polarization