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arXiv · hep-th/0608059

A Farey Tail for Attractor Black Holes

Jan de Boer·Miranda C. N. Cheng·Robbert Dijkgraaf·Jan Manschot·Erik Verlinde
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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.

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Jan de Boer, Miranda C. N. Cheng, Robbert Dijkgraaf, Jan Manschot, Erik Verlinde. 2008-04-22. A Farey Tail for Attractor Black Holes. https://doi.org/10.1088/1126-6708%2F2006%2F11%2F024

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