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Cited by 30Black Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesQuantum Electrodynamics and Casimir Effect

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Scanning tunneling macroscopy, black holes and AdS/CFT bulk locality

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Rey, Soo-Jong, Rosenhaus, Vladimir·2014·Journal of High Energy Physics
DOI 10.1007/jhep07(2014)050
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Abstract

We establish resolution bounds on reconstructing a bulk field from boundary data on a timelike hypersurface. If the bulk only supports propagating modes, reconstruction is complete. If the bulk also supports evanescent modes, local reconstruction is not achievable unless one has exponential precision in knowledge of the boundary data. Without exponential precision, for a Minkowski bulk, one can reconstruct a spatially coarse-grained bulk field, but only out to a depth set by the coarse-graining scale. For an asymptotically AdS bulk, reconstruction is limited to a spatial coarse-graining proper distance set by the AdS scale. AdS black holes admit evanescent modes. We study the resolution bound in the large AdS black hole background and provide a dual CFT interpretation. Our results demonstrate that, if there is a black hole of any size in the bulk, then sub-AdS bulk locality is no longer well-encoded in boundary data in terms of local CFT operators. Specifically, in order to probe the bulk on sub-AdS scales using only boundary data in terms of local operators, one must either have such data to exponential precision or make further assumptions about the bulk state.

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Metadata

Authors
Rey, S.-J., & Rosenhaus, V.
Affiliations
  • Seoul National University (KR)
  • University of California, Berkeley (US)
Corresponding author
Rey, Soo-Jong
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2014-07
Volume
2014
Issue
7
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep07(2014)050
OpenAlex
W2051677080
Cited by
30
References
1
Citations by year
2026: 2 · 2025: 2 · 2023: 1 · 2022: 2 · 2021: 3 · 2020: 1 · 2019: 1 · 2018: 2 · 2017: 1 · 2016: 6 · 2015: 5 · 2014: 4
FWCI
2.35
Type
journal article
Language
en
Open access
Licence
cc-by
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Research Foundation
  • National Research Foundation of Korea (2012K2A1A9055280, 2005-0093843, 2010-220-C00003)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
Keywords
AdS/CFT correspondence, bulk locality, evanescent modes, asymptotically AdS black holes, coarse-graining, timelike hypersurfaces, local operators

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