# Black hole as emergent holographic geometry of weakly interacting hot Yang-Mills gas

@article{Rey2006BlackHA,
title={Black hole as emergent holographic geometry of weakly interacting hot Yang-Mills gas},
author={Soo-Jong Rey and Yasuaki Hikida},
journal={Journal of High Energy Physics},
year={2006},
volume={2006},
pages={051-051}
}
• Published 7 July 2005
• Physics
• Journal of High Energy Physics
We demonstrate five-dimensional anti-de Sitter black hole emerges as dual geometry holographic to weakly interacting = 4 superconformal Yang-Mills theory. We first note that an ideal probe of the dual geometry is the Yang-Mills instanton, probing point by point in spacetime. We then study instanton moduli space at finite temperature by adopting Hitchin's proposal that geometry of the moduli space is definable by Fisher-Rao "information geometry". In Yang-Mills theory, the information metric is…
18 Citations

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