Constructing local bulk observables in interacting AdS/CFT
Open accessAbstract
Local operators in the bulk of anti-de Sitter can be represented as smeared operators in the dual conformal field theory. We show how to construct these bulk observables by requiring that the bulk operators commute at spacelike separation. This extends our previous work by taking interactions into account. Large-$N$ factorization plays a key role in the construction. We show diagrammatically how this procedure is related to bulk Feynman diagrams.
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The operators (2.2) have the expected commutators in the bulk, checked perturbatively within low point correlation functions.
“It is not obvious from the definition that the operators (2.2) have the expected commutators in the bulk; this has been checked perturbatively within low point correlation functions in [19], but must eventually break down in states with enough excitations to avoid a contradiction with the argument in our introduction.”
From Bulk locality and quantum error correction in AdS/CFT (2015) · cites this paper as [19]
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- Authors
- Kabat, D., Lifschytz, G., & Lowe, D. A.
- Affiliations
- Lehman College (US)
- University of Haifa (IL)
- Brown University (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2011-05-17
- Volume
- 83
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1996954475
- Cited by
- 189
- References
- 3
- Citations by year
- 2026: 11 · 2025: 8 · 2024: 10 · 2023: 12 · 2022: 9 · 2021: 17 · 2020: 11 · 2019: 10 · 2018: 11 · 2017: 13 · 2016: 23 · 2015: 20 · 2014: 15 · 2013: 10 · 2012: 7
- FWCI
- 5.82
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CUNY Academic Works (City University of New York) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- U.S. Department of Energy
- 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 › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Keywords
- AdS/CFT correspondence, holography
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