[Submitted on 4 Dec 2020] (cross-list from hep-th)
Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT and Viscosity
Jun Nian🇺🇸 · Leopoldo A. Pando Zayas🇺🇸
Using the AdS/CFT correspondence we consider the retarded Green's function in the background of rotating near-extremal AdS black holes. Following the canonical AdS/CFT dictionary into the asymptotic boundary we get a CFT 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 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, and find that it violates the bound.
- Comments:
- 9 pages, 4 figures; V2: 2 figures and more discussions added, published version in PRD
- Subjects:
- High Energy Physics — Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Nuclear Theory (nucl-th)
- arXiv:
- 2012.02797 [pdf]