A Farey tail for attractor black holes

2006/08/31 by Jan de Boer, Miranda C. N. Cheng, Robbert Dijkgraaf +2 · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/11/024

published as JHEP0611:024,2006 · 36 pages, 3 figures, note added

openalex publication_date 2006/11/10 · arxiv created 2008/04/22 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

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.

Citations

• Counting BPS Blackholes in Toroidal Type II String Theory
• Five-Brane Effective Action In M-Theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Elliptic Genera of Symmetric Products and Second Quantized Strings
• The fuzzball proposal for black holes: an elementary review
• M-Theory and Topological Strings--II

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• Black hole partition function using the hybrid formalism of superstrings
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