Free Yang-Mills theory versus toric Sasaki-Einstein manifolds

Tatsuma Nishioka and Tadashi Takayanagi
Phys. Rev. D 76, 044004 – Published 8 August 2007

Abstract

It has been known that the Bekenstein-Hawking entropy of the black hole in AdS5×S5 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 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 43. We also present explicit values of volumes and central charges for new classes of toric Sasaki-Einstein manifolds.

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  • Received 16 May 2007

DOI:https://doi.org/10.1103/PhysRevD.76.044004

©2007 American Physical Society

Authors & Affiliations

Tatsuma Nishioka* and Tadashi Takayanagi

  • Department of Physics, Kyoto University, Kyoto 606-8502, Japan

  • *nishioka@gauge.scphys.kyoto-u.ac.jp
  • takayana@gauge.scphys.kyoto-u.ac.jp

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Issue

Vol. 76, Iss. 4 — 15 August 2007

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