论文标题
从旋转广告黑洞中延迟了格林的功能:紧急CFT $ _2 $和粘度
Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT$_2$ and Viscosity
论文作者
论文摘要
使用AD/CFT对应关系,我们考虑了在旋转接近超级广告$ _4 $黑洞的背景下延迟的Green的功能。遵循规范广告/CFT字典进入渐近边界,我们将获得CFT $ _3 $结果。我们还采用了一条新路线,并放大了近摩根地区,炸毁了该地区,并表明它产生了CFT $ _2 $结果。我们认为,近休元区域的解耦类似于D3-Brane的近throat区域的解耦,这导致了ADS/CFT对应的原始表述,因此这意味着Kerr/CFT对应关系是在旋转黑色的标准ADS/CFT对应关系上的脱钩。作为副产品,我们计算了强耦合边界CFT $ _3 $的剪切粘度与熵密度比,并发现它违反了$ 1 /(4π)$。
Using the AdS/CFT correspondence we consider the retarded Green's function in the background of rotating near-extremal AdS$_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 $1 / (4 π)$ bound.