Entanglement of purification and multiboundary wormhole geometries
Abstract
We posit a geometrical description of the entanglement of purification for sub-regions in a holographic CFT. The bulk description naturally generalizes the two-party case and leads to interesting inequalities among multi-party entanglements of purification that can be geometrically proven from the conjecture. Further, we study the relationship between holographic entanglements of purification in locally-AdS3 spacetimes and entanglement entropies in multi-throated wormhole geometries constructed via quotienting by isometries. In particular, we derive new holographic inequalities for geometries that are locally AdS_3 relating entanglements of purification for subregions and entanglement entropies in the wormhole geometries.
Additional Information
© 2019 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: November 15, 2018; Revised: January 23, 2019; Accepted: February 6, 2019; Published: February 18, 2019. We thank Raphael Bousso, Tom Faulkner, Illan Halpern, Veronika Hubeny, Alex Maloney, and Jason Pollack for useful discussions and comments. N.B. is supported by the National Science Foundation under grant number 82248-13067-44-PHPXH and by the Department of Energy under grant number DE-SC0019380. A.C.-D. was supported by a Beatrice and Sai-Wai Fu Graduate Fellowship in Physics and by the Gordon and Betty Moore Foundation through Grant 776 to the Caltech Moore Center for Theoretical Cosmology and Physics for the majority of the work. A.C.-D. is currently supported in part by the KU Leuven C1 grant ZKD1118 C16/16/005, the National Science Foundation of Belgium (FWO) grant G.001.12 Odysseus, and by the European Research Council grant no. ERC-2013-CoG 616732 HoloQosmos. G.N.R. is supported by the Miller Institute for Basic Research in Science at the University of California, Berkeley.Attached Files
Published - Bao2019_Article_EntanglementOfPurificationAndM.pdf
Submitted - 1811.01983v1.pdf
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Additional details
- Eprint ID
- 92998
- Resolver ID
- CaltechAUTHORS:20190220-091346866
- 82248-13067-44-PHPXH
- NSF
- DE-SC0019380
- Department of Energy (DOE)
- Beatrice and Sai-Wai Fu Graduate Fellowship in Physics
- 776
- Gordon and Betty Moore Foundation
- ZKD1118 C16/16/005
- Katholieke Universiteit Leuven
- G.001.12
- Fonds Wetenschappelijk Onderzoek (FWO)
- 616732
- European Research Council (ERC)
- Miller Institute for Basic Research in Science
- SCOAP3
- Created
-
2019-02-20Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics