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AdS_3 × S^2中的黑洞束缚态

Black hole bound states in AdS_3 x S^2

Jan de Boer, Frederik Denef, Sheer El-Showk, Ilies Messamah, Dieter Van den Bleeken

发表信息：
JHEP 0811:050,2008
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摘要：

我们系统地构造了与1+1维（0，4）共形场论对偶的几何，这些场论产生于M-理论的S^1 x CY_3紧化中包裹的M5-膜的低能描述.这包括了大量多中心黑洞的束缚态渐近到AdS_3 × S^2。此外，我们发现许多几何形状，开发多个，相互去耦AdS_3 x S^2喉。我们认为，有一个有用的一对一的对应关系的空间的解决方案和特定的限制IIA型吸引流树的连接组件。我们指出，小的超对称BTZ黑洞在S^2上存在一个定域的热力学不稳定性，它是著名的AdS-Schwarzschild定域不稳定性的一个超对称的、精确可解的类似物，并将其与四维的“熵之谜”联系起来。我们讨论了这表明的相变，并开始这些结果的CFT解释。

英文摘要：

We systematically construct the geometries dual to the 1+1 dimensional (0,4) conformal field theories that arise in the low-energy description of wrapped M5-branes in S^1 x CY_3 compactifications of M-theory. This includes a large number of multicentered black hole bound states asymptotic to AdS_3 x S^2. In addition, we find many geometries that develop multiple, mutually decoupled AdS_3 x S^2 throats. We argue there is a useful one to one correspondence between the connected components of the space of solutions and particular limits of type IIA attractor flow trees. We point out that there is a thermodynamic instability of small supersymmetric BTZ black holes to localization on the S^2, a supersymmetric and exactly solvable analog of the well known AdS-Schwarzschild localization instability, and identify this with the ``Entropy Enigma'' in four dimensions. We discuss the phase transition this suggests, and initiate the CFT interpretation of these results.

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