Towards entanglement of purification for conformal field theories

Hirai, Hayato (Department of Physics, Osaka University Toyonaka, Osaka 560-0043, Japan) ; Tamaoka, Kotaro (Department of Physics, Osaka University Toyonaka, Osaka 560-0043, Japan) ; Yokoya, Tsuyoshi (Department of Physics, Osaka University Toyonaka, Osaka 560-0043, Japan)

30 January 2019

Abstract: We argue that the entanglement of purification for 2D holographic conformal field theories (CFT) can be obtained from conformal blocks with internal twist operators. First, we explain our formula from the viewpoint of a tensor network model of holography. Then, we apply it to bipartite mixed states dual to a subregion of AdS and the static Bañados–Teitelboim–Zanelli black hole geometries. The formula in CFT agrees with the entanglement wedge cross section in the bulk, which has been recently conjectured to be equivalent to the entanglement of purification.


Published in: PTEP 2018 (2018) 063B03
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/pty063
arXiv: 1803.10539
License: CC-BY-3.0



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