CFT Duals for Extreme Black Holes
CFT Duals for Extreme Black Holes
复制标题
DOI：
10.1088/1126-6708/2009/04/019
复制
发表时间：
2008-11
影响因子：
5.4
通讯作者：
Thomas Hartman;Keiju Murata;T. Nishioka;A. Strominger
中科院分区：
文献类型：
--
作者：
Thomas Hartman;Keiju Murata;T. Nishioka;A. Strominger
有人认为，一般四维极值 Kerr-Newman-AdS-dS 黑洞与二维 CFT（手性一半）是全息对偶的，概括了最近针对极值 Kerr 特殊情况给出的论点。具体来说，一般极值黑洞的近地平线区域的渐近对称性被证明是由 Virasoro 代数生成的。推导出对偶 CFT 的中心电荷和温度的半经典公式作为宇宙常数、牛顿常数以及黑洞电荷和自旋的函数。然后，我们假设卡迪公式表明，对偶 CFT 的微观熵精确地再现了宏观贝肯斯坦-霍金面积定律。这种 CFT 描述在黑洞没有自旋的极限 Reissner-Nordstrom 极限下变得奇异。此时，提出了第二个对偶 CFT 描述，其中 U(1) 规范对称性的全局部分被提升为 Virasoro 代数。第二个描述也被发现再现了面积定律。讨论了包括更高维度在内的各种进一步概括。
It is argued that the general four-dimensional extremal Kerr-Newman-AdS-dS black hole is holographically dual to a (chiral half of a) two-dimensional CFT, generalizing an argument given recently for the special case of extremal Kerr. Specifically, the asymptotic symmetries of the near-horizon region of the general extremal black hole are shown to be generated by a Virasoro algebra. Semiclassical formulae are derived for the central charge and temperature of the dual CFT as functions of the cosmological constant, Newton's constant and the black hole charges and spin. We then show, assuming the Cardy formula, that the microscopic entropy of the dual CFT precisely reproduces the macroscopic Bekenstein-Hawking area law. This CFT description becomes singular in the extreme Reissner-Nordstrom limit where the black hole has no spin. At this point a second dual CFT description is proposed in which the global part of the U(1) gauge symmetry is promoted to a Virasoro algebra. This second description is also found to reproduce the area law. Various further generalizations including higher dimensions are discussed.