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arXiv · 2012.02797

Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT$_2$ and Viscosity

Jun Nian·Leopoldo A. Pando Zayas
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Abstract

Using the AdS/CFT correspondence we consider the retarded Green's function in the background of rotating near-extremal AdS$_4$ black holes. Following the canonical AdS/CFT dictionary into the asymptotic boundary we get a CFT$_3$ result. We also take a new route and zoom in on the near-horizon region, blow up this region and show that it yields a CFT$_2$ result. We argue that the decoupling of the near-horizon region is akin to the decoupling of the near-throat region of a D3-brane, which led to the original formulation of the AdS/CFT correspondence, thus implying that the Kerr/CFT correspondence follows as a decoupling of the standard AdS/CFT correspondence applied to rotating black holes. As a byproduct, we compute the shear viscosity to entropy density ratio for the strongly coupled boundary CFT$_3$, and find that it violates the $1 / (4 \pi)$ bound.

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Jun Nian, Leopoldo A. Pando Zayas. 2020-12-04. Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT$_2$ and Viscosity. https://doi.org/10.1103/physrevd.104.066020

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