2007/02/28 by Tatsuma Nishioka, Tadashi Takayanagi
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Einstein #Entropy (arrow of time) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #hep-th
paper · pdf · doi:10.1103/physrevd.76.044004
published as Phys.Rev.D76:044004,2007 · 18 pages, 7 figures, latex, comments and a reference added (v2), explanation improved and references added (v3), a reference added (v4)
openalex publication_date 2007/08/08 · arxiv created 2007/08/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It has been known that the Bekenstein-Hawking entropy of the black hole in AdS5\ifmmode×\else\texttimes\fiS5 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.