Giant gravitons in AdS/CFT (I): matrix model and back reaction
Giant gravitons in AdS/CFT (I): matrix model and back reaction
复制标题
AdS/CFT 中的巨引力子（I）：矩阵模型和逆反应
DOI：
10.1088/1126-6708/2004/08/029
复制
发表时间：
2004
影响因子：
5.4
通讯作者：
Pedro J. Silva
中科院分区：
文献类型：
--
作者：
M. Caldarelli;Pedro J. Silva
本文在AdS/CFT对应框架下研究巨引力子。首先，我们展示了如何使用矩阵模型来描述这些配置在CFT侧。在这幅图中，巨引力子被实现为费米海上方的单激发，或者是费米海中的深洞。然后，我们给出了一个定义准经典态的处方，并恢复了与生长在AdS中的巨引力子的CFT对偶相关联的已知经典解。其次，我们使用AdS/CFT字典来获得一般状态的超重力边界应力张量，并全息重建体度规，获得时空的反作用。我们发现，所有的超对称巨引力子态的时空响应是相同的形式，产生了奇异的BPS极限的三电荷Reissner-Nordstrom-AdS黑洞。在计算边界应力张量时，我们对Liu和Sabra最近引入的有限反项进行了评论，并将其连接到一个依赖于方案的共形异常。
In this article we study giant gravitons in the framework of AdS/CFT correspondence. First, we show how to describe these configurations in the CFT side using a matrix model. In this picture, giant gravitons are realized as single excitations high above a Fermi sea, or as deep holes into it. Then, we give a prescription to define quasi-classical states and we recover the known classical solution associated to the CFT dual of a giant graviton that grows in AdS. Second, we use the AdS/CFT dictionary to obtain the supergravity boundary stress tensor of a general state and to holographically reconstruct the bulk metric, obtaining the back reaction of space-time. We find that the space-time response to all the supersymmetric giant graviton states is of the same form, producing the singular BPS limit of the three charge Reissner-Nordstrom-AdS black holes. While computing the boundary stress tensor, we comment on the finite counterterm recently introduced by Liu and Sabra, and connect it to a scheme-dependent conformal anomaly.