Entropy of near-extremal black holes in AdS_5
Entropy of near-extremal black holes in AdS_5
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DOI：
10.1088/1126-6708/2008/05/067
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发表时间：
2007-07
期刊：
影响因子：
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通讯作者：
V. Balasubramanian;J. Boer;Vishnu Jejjala;J. Simón
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文献类型：
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作者：
V. Balasubramanian;J. Boer;Vishnu Jejjala;J. Simón
在对偶SU（N）Yang-Mills理论中，我们将AdS_5 × S5中近极值黑洞的微观态构造为分布在重BPS算符中的缺陷气体.这些缺陷描述了开弦球面D3膜在S5，我们表明，他们主导的熵直接枚举它们和比较的结果与分区和计算。我们展示了新的解耦极限，其中D-膜上最轻的开弦的场论成为黑洞几何的近视界区域的对偶。在单电荷黑洞中，我们发现了SU（N）杨-米尔斯理论之间的红外对偶性的证据，该理论将规范群的秩与R-电荷交换。在两电荷的情况下（膜对相交于一条直线上），解耦几何包括一个AdS_3因子和一个二维CFT对偶。这个CFT中的简并度解释了黑洞熵。在三电荷的情况下（三重膜相交于一点），解耦几何包含一个AdS_2因子。低于一定的临界质量，两个电荷系统显示裸类时奇点的解决方案，即使他们不违反BPS约束。我们建议这些奇异性的弦理论解决方案。
We construct the microstates of near-extremal black holes in AdS_5 x S5 as gases of defects distributed in heavy BPS operators in the dual SU(N) Yang-Mills theory. These defects describe open strings on spherical D3-branes in the S5, and we show that they dominate the entropy by directly enumerating them and comparing the results with a partition sum calculation. We display new decoupling limits in which the field theory of the lightest open strings on the D-branes becomes dual to a near-horizon region of the black hole geometry. In the single-charge black hole we find evidence for an infrared duality between SU(N) Yang-Mills theories that exchanges the rank of the gauge group with an R-charge. In the two-charge case (where pairs of branes intersect on a line), the decoupled geometry includes an AdS_3 factor with a two-dimensional CFT dual. The degeneracy in this CFT accounts for the black hole entropy. In the three-charge case (where triples of branes intersect at a point), the decoupled geometry contains an AdS_2 factor. Below a certain critical mass, the two-charge system displays solutions with naked timelike singularities even though they do not violate a BPS bound. We suggest a string theoretic resolution of these singularities.