Why Z_{BH} = |Z_{top}|^2
High Energy Physics - Theory
2007-05-23 v1
Abstract
It is argued, using an M-theory lift, that the IIA partition function on a euclidean AdS_2 x S^2 x CY_3 attractor geometry computes the modified elliptic genus Z_BH of the associated black hole in a large charge expansion. The partition function is then evaluated using the Green-Schwarz formalism. After localizing the worldsheet path integral with the addition of an exact term, contributions arise only from the center of AdS_2 and the north and south poles of S^2. These are the toplogical and anti-topological string partition functions Z_top and {\bar Z_top} respectively. We thereby directly reproduce the perturbative relation Z_BH = |Z_top|^2.
Keywords
Cite
@article{arxiv.hep-th/0608021,
title = {Why Z_{BH} = |Z_{top}|^2},
author = {Chris Beasley and Davide Gaiotto and Monica Guica and Lisa Huang and Andrew Strominger and Xi Yin},
journal= {arXiv preprint arXiv:hep-th/0608021},
year = {2007}
}
Comments
19 pages, no figures