Black hole bound states in AdS(3) x S**2

Black hole bound states in AdS(3) x S**2
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AdS(3) x S**2 中的黑洞束缚态

DOI:
10.1088/1126-6708/2008/11/050
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发表时间:
2008
影响因子:
5.4
通讯作者:
D. Bleeken
D. Bleeken
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
J. Boer;F. Denef;S. El;I. Messamah;D. Bleeken

文献摘要

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我们系统地构建了 1+1 维 (0,4) 共形场论的对偶几何,这些几何是在 M 理论的 S^1 x CY_3 紧致化中包裹的 M5 膜的低能量描述中出现的。这包括大量渐进至 AdS_3 x S^2 的多中心黑洞束缚态。此外,我们发现许多几何形状形成多个相互解耦的 AdS_3 x S^2 喉部。我们认为,解空间的连通分量与 IIA 型吸引子流树的特定限制之间存在有用的一一对应关系。我们指出小型超对称 BTZ 黑洞在 S^2 上的局域化存在热力学不稳定性,这是众所周知的 AdS-Schwarzschild 局域化不稳定性的超对称且完全可解的模拟,并用四个维度的“熵之谜”来识别这一点。我们讨论了这表明的相变,并开始对这些结果进行 CFT 解释。
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.