4.4 Article

Causality & holographic entanglement entropy

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP12(2014)162

关键词

AdS-CFT Correspondence; Classical Theories of Gravity

资金

  1. National Science Foundation [1066293, PHY10-53842]
  2. Ambrose Monell foundation
  3. FQXi grant Measures of Holographic Information [FQXi-RFP3-1334]
  4. STFC Consolidated Grant [ST/J000426/1]
  5. DOE [DE-SC0009987]
  6. European Research Council under the European Union's Seventh Framework Programme (FP7)
  7. ERC Consolidator Grant Agreement [ERC-2013-CoG-615443]
  8. STFC [ST/J000426/1, ST/L000407/1] Funding Source: UKRI
  9. Division Of Physics
  10. Direct For Mathematical & Physical Scien [1053842] Funding Source: National Science Foundation
  11. Science and Technology Facilities Council [ST/J000426/1, ST/L000407/1] Funding Source: researchfish

向作者/读者索取更多资源

We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy prescription (which relates entanglement entropy of a given spatial region on the boundary to the area of a certain extremal surface in the bulk) obeys these conditions, as long as the bulk obeys the null energy condition. While necessary for the validity of the prescription, this consistency requirement is quite nontrivial from the bulk standpoint, and therefore provides important additional evidence for the prescription. In the process, we introduce a codimension-zero bulk region, named the entanglement wedge, naturally associated with the given boundary spatial region. We propose that the entanglement wedge is the most natural bulk region corresponding to the boundary reduced density matrix.

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