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arXiv 1004.4773hep-th
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近NHEK/CFT对应

A near-NHEK/CFT correspondence

Jorgen Rasmussen

摘要:

我们考虑最近推出的近NHEK度规描述的近极值四维克尔黑洞的近视界几何周围的激发。这个几何有一个U(1)_L × U(1)_R等距群,它可以推广为一对可交换的维拉索罗代数.我们提出了边界条件,使相应的渐近对称性的守恒荷定义良好且不为零,并找到了中心荷c_L= 12 J/hbar和c_R=0,其中J是黑洞的角动量。应用Cardy公式可以重现黑洞的Bekenstein-Hawking熵。这表明近极值Kerr黑洞与非手征二维共形场论是全息对偶的。

英文摘要:

We consider excitations around the recently introduced near-NHEK metric describing the near-horizon geometry of the near-extremal four-dimensional Kerr black hole. This geometry has a U(1)_L x U(1)_R isometry group which can be enhanced to a pair of commuting Virasoro algebras. We present boundary conditions for which the conserved charges of the corresponding asymptotic symmetries are well defined and non-vanishing and find the central charges c_L=12J/hbar and c_R=0 where J is the angular momentum of the black hole. Applying the Cardy formula reproduces the Bekenstein-Hawking entropy of the black hole. This suggests that the near-extremal Kerr black hole is holographically dual to a non-chiral two-dimensional conformal field theory.

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