Free Yang-Mills vs. Toric Sasaki-Einstein

@inproceedings{Nishioka2007FreeYV,
  title={Free Yang-Mills vs. Toric Sasaki-Einstein},
  author={Tatsuma Nishioka and Tadashi Takayanagi},
  year={2007}
}
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 43 . 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 an analogous 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… 
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