Black hole as emergent holographic geometry of weakly interacting hot YangMills gas
Abstract
We demonstrate fivedimensional antide Sitter black hole emerges as dual geometry holographic to weakly interacting Script N = 4 superconformal YangMills theory. We first note that an ideal probe of the dual geometry is the YangMills 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 FisherRao "information geometry". In YangMills theory, the information metric is measured by a novel class of gaugeinvariant, nonlocal operators in the instanton sector. We show that the moduli space metric exhibits (1) asymptotically antide Sitter, (2) horizon at radial distance set by the YangMills temperature, and (3) after Wick rotation of the moduli space to the Lorentzian signature, a singularity at the origin. We argue that the dual geometry emerges even for rank of gauge groups of order unity and for weak `t Hooft coupling.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2006
 DOI:
 10.1088/11266708/2006/08/051
 arXiv:
 arXiv:hepth/0507082
 Bibcode:
 2006JHEP...08..051R
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Latex, 3 .eps figures