BoundarySMatrix and the Anti–de Sitter Space to Conformal Field Theory Dictionary
Open accessAbstract
An $S$ matrix analog is defined for anti--de Sitter (Ads) space by constructing ``in'' and ``out'' states that asymptote to the timelike boundary. A derivation parallel to that of the Lehmann-Symanzik-Zimmermann formula shows that this ``boundary $S$ matrix'' is given directly by correlation functions in the boundary conformal theory. This provides a key entry in the AdS to conformal field theory dictionary.
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The extrapolate dictionary has been shown to be equivalent to the GKPW prescription.
“This extrapolate dictionary has been shown to be equivalent to the GKPW prescription (20) in [102,103].”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [102]
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- Authors
- Giddings, S. B.
- Affiliations
- University of California, Santa Barbara (US)
- Corresponding author
- Giddings, Steven B.
- ORCID
- Giddings, Steven B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-10-04
- Volume
- 83
- Issue
- 14
- Pages
- 2707-2710
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1667689226
- Cited by
- 143
- References
- 14
- Citations by year
- 2026: 5 · 2025: 5 · 2024: 6 · 2023: 5 · 2022: 5 · 2021: 4 · 2020: 4 · 2019: 5 · 2018: 7 · 2017: 7 · 2016: 9 · 2015: 7 · 2013: 2 · 2012: 6
- FWCI
- 6.30
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Keywords
- boundary S-matrix, anti-de Sitter space, AdS/CFT correspondence, timelike boundary, correlation functions, conformal field theory, holography
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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