Strong subadditivity and the covariant holographic entanglement entropy formula

被引：59

作者：

Callan, Robert ^{[1
]}

He, Jianyang ^{[1
]}

Headrick, Matthew ^{[1
]}

机构：

[1] Brandeis Univ, Martin Fisher Sch Phys, Waltham, MA 02254 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 06期

基金：

美国国家科学基金会;

关键词：

Gauge-gravity correspondence; AdS-CFT Correspondence;

D O I：

10.1007/JHEP06(2012)081

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Headrick and Takayanagi showed that the Ryu-Takayanagi holographic entanglement entropy formula generally obeys the strong subadditivity (SSA) inequality, a fundamental property of entropy. However, the Ryu-Takayanagi formula only applies when the bulk spacetime is static. It is not known whether the covariant generalization proposed by Hubeny, Rangamani, and Takayanagi (HRT) also obeys SSA. We investigate this question in three-dimensional AdS-Vaidya spacetimes, finding that SSA is obeyed as long as the bulk spacetime satisfies the null energy condition. This provides strong support for the validity of the HRT formula.

引用

页数：38

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