The Kerr/CFT Correspondence and String Theory
The Kerr/CFT Correspondence and String Theory
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DOI：
10.1103/physrevd.79.106009
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发表时间：
2008-12
影响因子：
5
通讯作者：
T. Azeyanagi;Noriaki Ogawa;S. Terashima
中科院分区：
文献类型：
--
作者：
T. Azeyanagi;Noriaki Ogawa;S. Terashima
克尔/CFT对应是二维手性共形场理论（CFT）与极黑洞极近视界极限之间的全息二象性，其中包括AdS{sub 2}结构。为了理解双手性CFT{sub 2}，我们将Kerr/CFT对应关系应用于弦理论中嵌入的一类黑洞，包括D1-D5-P和Breckenridge-Myers-Peet-Vafa黑洞，并在微观上得到了黑洞的正确熵。它们在近视界几何中有一个AdS{sub 3}结构在极近视界几何中有一个AdS{sub 2}结构。在AdS{sub 3}的非手性CFT{sub 2}对偶中，即AdS{sub 3}/CFT{sub 2}中，我们确定了两个Virasoro对称中的一个；在AdS{sub 2}的手性CFT{sub 2}对偶中，即Kerr/CFT对应中，我们确定了两个Virasoro对称。我们还讨论了一种理解手性CFT{sub 2}对偶到一般极值黑洞的方法。极端黑洞极近视界几何的一种普适性对于克尔/CFT对应的有效性是重要的。基于这一分析，我们提出Kerr/CFT对应可以理解为一个解耦限制，在这个解耦限制中只有基态存在。«少
The Kerr/CFT correspondence is a holographic duality between a two dimensional chiral conformal field theory (CFT) and the very near horizon limit of an extremal black hole, which includes an AdS{sub 2} structure. To understand the dual chiral CFT{sub 2}, we apply the Kerr/CFT correspondence to a certain class of black holes embedded in string theory, which include the D1-D5-P and the Breckenridge-Myers-Peet-Vafa black holes, and obtain the correct entropies for the black holes microscopically. These have an AdS{sub 3} structure in the near horizon geometry and an AdS{sub 2} structure in the very near horizon geometry. We identified one of the two Virasoro symmetries in the nonchiral CFT{sub 2} dual to the AdS{sub 3}, i.e., in the AdS{sub 3}/CFT{sub 2}, with the Virasoro symmetry in the chiral CFT{sub 2} dual to the AdS{sub 2}, i.e., in the Kerr/CFT correspondence. We also discuss a way to understand the chiral CFT{sub 2} dual to generic extremal black holes. A kind of universality for the very near horizon geometries of extremal black holes will be important for the validity of the Kerr/CFT correspondence. Based on this analysis, we propose that the Kerr/CFT correspondence can be understood as a decoupling limit in whichmore » only the ground states remain.« less