论文标题
极端表面和薄壳虫洞
Extremal Surfaces and Thin-shell Wormholes
论文作者
论文摘要
我们在可遍布的虫洞几何形状中研究极端表面，该几何形状连接了两个本地广告$ _5 $渐近区域。在AD/CFT对应的上下文中，我们使用它们来计算不同配置的全息纠缠熵：首先，我们考虑在边界上以空间$ 2 $ 2 $ 2 $ 2 $ 2 $ r $ $ r $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $。另一种情况是一种平板配置，该配置在第三个方向上的两个边界空格方向上延伸，而第三个则具有有限的尺寸$ l $。我们表明，在这两种情况下，全息纠缠熵的分歧和有限片段都与全息图相一致，这用于探索双重理论所经历的相变。我们在这里考虑的几何形状是稳定的薄壳虫洞，其在固定的径向坐标处具有平坦的consimension-One Hypersurface。它们是与阿贝里亚仪表田相连的高曲率重力理论的电动溶液。薄壳的存在会产生散装中极端表面的折射，从而导致相位图中存在尖尖。此外，可穿越的虫洞捕获了由不同边界中断开区域的联合组成的子系统的相变。我们讨论了相图的这些和其他特征。
We study extremal surfaces in a traversable wormhole geometry that connects two locally AdS$_5$ asymptotic regions. In the context of the AdS/CFT correspondence, we use these to compute the holographic entanglement entropy for different configurations: First, we consider an extremal surface anchored at the boundary on a spatial $2$-sphere of radius $R$. The other scenario is a slab configuration which extends in two of the boundary spacelike directions while having a finite size $L$ in the third one. We show that in both cases the divergent and the finite pieces of the holographic entanglement entropy give results consistent with the holographic picture and this is used to explore the phase transitions that the dual theory undergoes. The geometries we consider here are stable thin-shell wormholes with flat codimension-one hypersurfaces at fixed radial coordinate. They appear as electrovacuum solutions of higher-curvature gravity theories coupled to Abelian gauge fields. The presence of the thin-shells produces a refraction of the extremal surfaces in the bulk, leading to the presence of cusps in the phase space diagram. Further, the traversable wormhole captures a phase transition for the subsystems made up of a union of disconnected regions in different boundaries. We discuss these and other features of the phase diagram.
