On spacetime entanglement

Robert C. Myers, Razieh Pourhasan, Michael Smolkin

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63 Scopus citations

Abstract

We examine the idea that in quantum gravity, the entanglement entropy of a general region should be finite and the leading contribution is given by the Bekenstein-Hawking area law. Using holographic entanglement entropy calculations, we show that this idea is realized in the Randall-Sundrum II braneworld for sufficiently large regions in smoothly curved backgrounds. Extending the induced gravity action on the brane to include the curvature-squared interactions, we show that the Wald entropy closely matches the expression describing the entanglement entropy. The difference is that for a general region, the latter includes terms involving the extrinsic curvature of the entangling surface, which do not appear in the Wald entropy. We also consider various limitations on the validity of these results.

Original languageAmerican English
Article number13
JournalJournal of High Energy Physics
Volume2013
Issue number6
DOIs
StatePublished - 2013
Externally publishedYes

Keywords

  • AdS-CFT Correspondence
  • Black Holes
  • Holography and condensed matter physics (AdS/CMT)

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