Free yang-mills theory versus toric Sasaki-Einstein manifolds

It has been known that the Bekenstein-Hawking entropy of the black hole in AdS(5)xS(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 theory to the entropy of the strongly coupled Yang-Mills theory. In this paper we compute an analogous factor for infinitely many N=1 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 4/3. We also present explicit values of volumes and central charges for new classes of toric Sasaki-Einstein manifolds.