AdS/CFT and strong subadditivity of entanglement entropy
AdS/CFT and strong subadditivity of entanglement entropy
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DOI：
10.1088/1126-6708/2007/02/042
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发表时间：
2006-08
影响因子：
5.4
通讯作者：
Tomoyoshi Hirata;T. Takayanagi
中科院分区：
文献类型：
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作者：
Tomoyoshi Hirata;T. Takayanagi
最近，全息计算纠缠熵的共形场论已被提出通过AdS/CFT对应。纠缠熵最重要的性质之一是强次可加性。这就要求纠缠熵是关于几何参数的凹函数。这是一个非平凡的检查的建议，看看这个属性确实是由熵计算全息满足。本文研究了几个由圆环或尖点定义的例子，并通过直接计算证实了强次可加性。此外，我们猜想强耦合规范理论中的Wilson圈子也满足同样的关系。讨论了全息纠缠熵与Bousso束缚的关系。
Recently, a holographic computation of the entanglement entropy in conformal field theories has been proposed via the AdS/CFT correspondence. One of the most important properties of the entanglement entropy is known as the strong subadditivity. This requires that the entanglement entropy should be a concave function with respect to geometric parameters. It is a non-trivial check on the proposal to see if this property is indeed satisfied by the entropy computed holographically. In this paper we examine several examples which are defined by annuli or cusps, and confirm the strong subadditivity via direct calculations. Furthermore, we conjecture that Wilson loop correlators in strongly coupled gauge theories satisfy the same relation. We also discuss the relation between the holographic entanglement entropy and the Bousso bound.