4.4 Article

Entanglement wedge cross section inequalities from replicated geometries

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP07(2021)113

Keywords

AdS-CFT Correspondence; Classical Theories of Gravity

Funding

  1. Department of Energy [DE-SC0019380]
  2. Computational Science Initiative at Brookhaven National Laboratory
  3. Research Foundation -Flanders (FWO) [12ZL920N]
  4. Natural Sciences and Engineering Research Council of Canada (NSERC) [PDF-545750-2020]
  5. Kavli Institute for Theoretical Physics by the National Science Foundation [NSF PHY-1748958]
  6. University of California, Santa Barbara by the Fundamental Physics Fellowship

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This study generalizes constructions for multipartite reflected entropy and devises a general algorithm for constructing multipartite entanglement wedge cross sections with varying party numbers. It shows how these methods can be used to derive novel inequalities constraining multipartite entanglement wedge cross sections.
We generalize the constructions for the multipartite reflected entropy in order to construct spacetimes capable of representing multipartite entanglement wedge cross sections of differing party number as Ryu-Takayanagi surfaces on a single replicated geometry. We devise a general algorithm for such constructions for arbitrary party number and demonstrate how such methods can be used to derive novel inequalities constraining mulipartite entanglement wedge cross sections.

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