Free Yang-Mills theory versus toric Sasaki-Einstein manifolds

Journal Article · Wed Aug 15 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.044004· OSTI ID:21027599

Nishioka, Tatsuma; Takayanagi, Tadashi ^[1]

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1. Department of Physics, Kyoto University, Kyoto 606-8502 (Japan)

It has been known that the Bekenstein-Hawking entropy of the black hole in AdS{sub 5}xS{sup 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.

• OSTI ID: 21027599
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COMPLEX MANIFOLDS
CONFORMAL INVARIANCE
COSMOLOGY
COUPLING
ENTROPY
QUANTUM FIELD THEORY
SUPERSYMMETRY
YANG-MILLS THEORY