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The AdS/CFT correspondence defines a sector with universal strongly coupled dynamics in the field theory as the dual of pure gravity in AdS described by Einstein's equation with a negative cosmological constant.
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The universality can happen even when we have nonconformal versions of AdS/CFT or consider specific 1 / N 1/N and finite coupling corrections in the conformal case [ 3 ]
Cited in the paper.
Cited in the paper.
An example of interest is the formation of quark-gluon plasma through collisions of gold nuclei, which happens spontaneously without the direct influence of environment. Strictly speaking, such systems are never isolated since they may lose energy through low energy radiation and we need to average out the boundary conditions determining the radiation escaping to infinity appropriately, so that the final equilibrium state is specified
Cited in the paper.
It might at first sight seem a little puzzling that the boundary stress tensor can specify the asymptotically AdS solution uniquely given that it is not Cauchy data. The boundary topology R 4 R^{4} and the flatness of the boundary metric play a special role here [ 8 ] . In such cases the asymptotic Fefferman-Graham coordinate system always breaks down at a finite
Cited in the paper.
R. Loganayagam, “Entropy Current in Conformal Hydrodynamics,” JHEP 0805
2008
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2009
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