Abstract
It has been known that the Bekenstein-Hawking entropy of the black hole in agrees with the free super Yang-Mills entropy up to the famous factor . This factor can be interpreted as the ratio of the entropy of the free Yang-Mills theory to the entropy of the strongly coupled Yang-Mills theory. In this paper we compute an analogous factor for infinitely many superconformal field theories (SCFTs) which are dual to toric Sasaki-Einstein manifolds. We observed that this ratio always takes values within a narrow range around . We also present explicit values of volumes and central charges for new classes of toric Sasaki-Einstein manifolds.
- Received 16 May 2007
DOI:https://doi.org/10.1103/PhysRevD.76.044004
©2007 American Physical Society