Free Yang-Mills vs. Toric Sasaki-Einstein
High Energy Physics - Theory
2008-11-26 v4
Abstract
It has been known that the Bekenstein-Hawking entropy of the black hole in AdS_5 * S^5 agrees with the free N=4 super Yang-Mills entropy up to the famous factor 4/3. This factor can be interpreted as the ratio of the entropy of the free Yang-Mills to the entropy of the strongly coupled Yang-Mills. In this paper we compute this factor for infinitely many N=1 SCFTs which are dual to toric Sasaki-Einstein manifolds. We observed that this ratio always takes values within a narrow range around 4/3. We also present explicit values of volumes and central charges for new classes of toric Sasaki-Einstein manifolds.
Cite
@article{arxiv.hep-th/0702194,
title = {Free Yang-Mills vs. Toric Sasaki-Einstein},
author = {Tatsuma Nishioka and Tadashi Takayanagi},
journal= {arXiv preprint arXiv:hep-th/0702194},
year = {2008}
}
Comments
18 pages, 7 figures, latex, comments and a reference added (v2), explanation improved and references added (v3), a reference added (v4)