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首页> 外文期刊>Bulletin of the American Physical Society >APS -Annual Meeting of the APS Four Corners Section- Event - Holographic Entanglement Entropy in Higher Dimensions
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APS -Annual Meeting of the APS Four Corners Section- Event - Holographic Entanglement Entropy in Higher Dimensions

机译：APS-APS四角分会年会-活动-高维全息纠缠熵

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摘要

Maldacena’s AdS/CFT conjecture gives strong evidence for the holographic nature of gravity and provides insight into the relationship between gravitational theories in $(D+1)$-dimensions and non-gravitational theories in $D$-dimensions. The reflection in the gravitational theory of quantum entanglement in the non-gravitational CFT was only understood in a very limited context until the holographic entanglement entropy (HEE) result of Ryu-Takayanagi (and its covariant generalization due to Hubeny-Rangamani-Takayanagi) provided considerable insight into the role that entanglement plays in Maldacena’s duality. Tests of this result have been largely limited to the technically simple setting of 2+1-dimensional gravity which exhibits no local degrees of freedom, and to systems with obvious thermal interpretations. The purpose of this work is to further explore the HEE result in higher dimensional contexts as well as for systems with less obvious thermal interpretations. We consider both standard Schwarzchild-type black holes as well as the topological black holes of the BTZ-type. This work will provide further support for the HEE result and may very well provide insight into our understanding of how sensitive gravitation is to differences in dimension.
机译：马尔达塞纳（Maldacena）的AdS / CFT猜想为重力的全息性质提供了有力的证据，并提供了$（D + 1）$维度中的引力理论与$ D $维度中的非引力理论之间的关系的深刻见解。直到只有Ryu-Takayanagi的全息纠缠熵（HEE）结果（及其因Hubeny-Rangamani-Takayanagi引起的协变泛化）提供的结果才在非常有限的背景下理解非引力CFT中量子纠缠的引力理论中的反射。对纠缠在马尔达塞纳的二元性中扮演的角色有相当深入的了解。该结果的测试在很大程度上限于技术上简单的2 + 1维重力设置，该设置不显示局部自由度，并且仅限于具有明显热学解释的系统。这项工作的目的是在更高尺寸的环境中以及对于热学解释不太明显的系统中进一步探索HEE结果。我们考虑标准的Schwarzchild型黑洞以及BTZ型的拓扑黑洞。这项工作将为HEE结果提供进一步的支持，并且很可能会为我们对重力对尺寸差异的敏感程度的理解提供深刻见解。

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