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.
%0 Journal Article
%1 deBoer2008Farey
%A de Boer, Jan
%A Cheng, Miranda C. N.
%A Dijkgraaf, Robbert
%A Manschot, Jan
%A Verlinde, Erik
%D 2008
%K farey-tail, stringthy-blackholes
%T A Farey Tail for Attractor Black Holes
%U http://arxiv.org/abs/hep-th/0608059
%X 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.
@article{deBoer2008Farey,
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.}},
added-at = {2019-02-26T10:37:35.000+0100},
archiveprefix = {arXiv},
author = {de Boer, Jan and Cheng, Miranda C. N. and Dijkgraaf, Robbert and Manschot, Jan and Verlinde, Erik},
biburl = {https://www.bibsonomy.org/bibtex/2bbff779205f65dbf6d8ee61b483e811f/acastro},
citeulike-article-id = {7530804},
citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0608059},
citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0608059},
day = 22,
eprint = {hep-th/0608059},
interhash = {0ec03e41e4ac11a7230d9b21bb07cfda},
intrahash = {bbff779205f65dbf6d8ee61b483e811f},
keywords = {farey-tail, stringthy-blackholes},
month = apr,
posted-at = {2010-07-22 14:22:44},
priority = {2},
timestamp = {2019-02-26T10:37:35.000+0100},
title = {{A Farey Tail for Attractor Black Holes}},
url = {http://arxiv.org/abs/hep-th/0608059},
year = 2008
}