Charged Randall-Sundrum black holes and = 4 super Yang-Mills in AdS2 × S2
Charged Randall-Sundrum black holes and = 4 super Yang-Mills in AdS2 × S2
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带电 Randall-Sundrum 黑洞 = AdS2 × S2 中的 4 个超级杨-米尔斯
DOI：
10.1088/1126-6708/2009/05/032
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发表时间：
2009
影响因子：
5.4
通讯作者：
H. Reall
中科院分区：
文献类型：
--
作者：
Alexander Kaus;H. Reall
我们得到了单膜Randall-Sundrum模型中黑洞的一些精确结果。我们考虑一个关于膜上的麦克斯韦场带电的极端黑洞。确定了近地平线的几何形状。将膜上的诱导度规和黑洞熵与4d广义相对论的预言进行了比较。对于大的黑洞，有很好的一致性，可计算的次级引导修正。作为一个单独的应用，对于AdS 2和S2的任意相对大小，体解提供了AdS 2 × S2中（强耦合，大N）= 4 SYM的引力对偶。
We obtain some exact results for black holes in the Randall-Sundrum model with a single brane. We consider an extreme black hole charged with respect to a Maxwell field on the brane. The near-horizon geometry is determined. The induced metric on the brane and the black hole entropy are compared with the predictions of 4d General Relativity. There is good agreement for large black holes, with calculable subleading corrections. As a separate application, the bulk solution provides a gravitational dual for (strongly coupled, large N) = 4 SYM in AdS2 × S2 for arbitrary relative size of AdS2 and S2.