A Farey Tail for Attractor Black Holes
High Energy Physics - Theory
2009-11-11 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0608059,
title = {A Farey Tail for Attractor Black Holes},
author = {Jan de Boer and Miranda C. N. Cheng and Robbert Dijkgraaf and Jan Manschot and Erik Verlinde},
journal= {arXiv preprint arXiv:hep-th/0608059},
year = {2009}
}
Comments
36 pages, 3 figures, note added