Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
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DOI：
10.1088/0264-9381/31/22/225007
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发表时间：
2012-11
影响因子：
3.5
通讯作者：
Aron C. Wall
中科院分区：
文献类型：
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作者：
Aron C. Wall
AdS/CFT的协变全息熵猜想将边界区域R的熵与体时空中极值曲面的面积联系起来。这个极值曲面可以通过极大极小构造得到，从而可以证明许多新的结果。在服从零曲率条件的流形上，这些极值曲面：（i）总是位于R的因果楔形之外，（ii）具有比因果楔形的分叉曲面更小的面积，（iii）随着R的增长而远离边界，（iv）服从强次可加性和互信息单偶。这些结果表明，在R中的信息允许的大部分被重建的极值区域表面的所有方式。极大极小曲面被证明存在于没有视界的时空和具有类卡斯纳奇点的黑洞时空上。
The covariant holographic entropy conjecture of AdS/CFT relates the entropy of a boundary region R to the area of an extremal surface in the bulk spacetime. This extremal surface can be obtained by a maximin construction, allowing many new results to be proven. On manifolds obeying the null curvature condition, these extremal surfaces: (i) always lie outside the causal wedge of R, (ii) have less area than the bifurcation surface of the causal wedge, (iii) move away from the boundary as R grows, and (iv) obey strong subadditivity and monogamy of mutual information. These results suggest that the information in R allows the bulk to be reconstructed all the way up to the extremal area surface. The maximin surfaces are shown to exist on spacetimes without horizons, and on black hole spacetimes with Kasner-like singularities.