A Farey Tail for Attractor Black Holes

Details A Farey Tail for Attractor Black Holes A Farey Tail for Attractor Black Holes

2006-08-09

arxiv.org/abs/hep-th/0608059v2

JHEP0611:024,2006

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 3 figures, note added

Scientific paper

10.1088/1126-6708/2006/11/024

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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