论文标题

广告/BCFT中的纠缠楔形横截面不平等

Entanglement wedge cross section inequalities in AdS/BCFT

论文作者

Li, Pan, Ling, Yi

论文摘要

全息图中的纠缠楔形截面为混合状态的纠缠提供了几何描述。在本文中,我们研究了ADS/BCFT二元性的纠缠楔形横截面的不平等。在保形场理论(CFT)中存在边界的情况下,双重纠缠楔形截面表现出丰富的相结构,因为极端表面可能会在棕褐色上结束。我们提出了一种普遍的处理,该治疗适用于所有可能的阶段,以便可以以代数方式而不是示意性方式证明纠缠楔形截面的不平等现象。我们表明,ADS/BCFT中的纠缠楔形截面与ADS/CFT中的不平等达到相同的不平等。

The entanglement wedge cross section in holographic picture provides a geometrical description of the entanglement for mixed states. In this paper we study the inequalities for the entanglement wedge cross section in AdS/BCFT duality. In the presence of the boundary in conformal field theory (CFT), the dual entanglement wedge cross section exhibits abundant phase structures since the extremal surface may end on the brane. We present a universal treatment which is applicable for all the possible phases such that the inequalities for the entanglement wedge cross section can be proved in an algebraic manner rather than a diagrammatic manner. We show that the entanglement wedge cross section in AdS/BCFT satisfies the same inequalities as in AdS/CFT.

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