The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Integral geometry and holography
Open accessAbstract
We present a mathematical framework which underlies the connection between information theory and the bulk spacetime in the AdS3/CFT2 correspondence. A key concept is kinematic space: an auxiliary Lorentzian geometry whose metric is defined in terms of conditional mutual informations and which organizes the entanglement pattern of a CFT state. When the field theory has a holographic dual obeying the Ryu-Takayanagi proposal, kinematic space has a direct geometric meaning: it is the space of bulk geodesics studied in integral geometry. Lengths of bulk curves are computed by kinematic volumes, giving a precise entropic interpretation of the length of any bulk curve. We explain how basic geometric concepts — points, distances and angles — are reflected in kinematic space, allowing one to reconstruct a large class of spatial bulk geometries from boundary entanglement entropies. In this way, kinematic space translates between information theoretic and geometric descriptions of a CFT state. As an example, we discuss in detail the static slice of AdS3 whose kinematic space is two-dimensional de Sitter space.
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Cites
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A Covariant Holographic Entanglement Entropy Proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · arXiv · doi:10.48550/arxiv.0705.0016 · Cited by 1,822
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Entanglement renormalization and holography
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Bulk locality and quantum error correction in AdS/CFT
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Remarks on the Sachdev-Ye-Kitaev model
Maldacena, J., & Stanford, D. (2016) · Physical Review D · doi:10.1103/physrevd.94.106002 · Cited by 1,852
Complexity, action, and black holes
Brown, A. R., Roberts, D. A., Susskind, L., Swingle, B., & Zhao, Y. (2016) · Physical Review D · doi:10.1103/physrevd.93.086006 · Cited by 640
Solving the Schwarzian via the conformal bootstrap
Mertens, T. G., Turiaci, G. J., & Verlinde, H. L. (2017) · Journal of High Energy Physics · doi:10.1007/jhep08(2017)136 · Cited by 357
Noether charge, black hole volume, and complexity
Couch, J., Fischler, W., & Nguyen, P. H. (2017) · Journal of High Energy Physics · doi:10.1007/jhep03(2017)119 · Cited by 257
Tensor Network Contractions: Methods and Applications to Quantum Many-Body Systems
Ran, S.-J., Tirrito, E., Peng, C., Chen, X., Tagliacozzo, L., Su, G., & Lewenstein, M. (2020) · Lecture Notes in Physics · doi:10.1007/978-3-030-34489-4 · Cited by 176
Metadata
- Authors
- Czech, B., Lamprou, L., McCandlish, S., & Sully, J.
- Venue
- Journal of High Energy Physics
- Published
- 2015-10
- Volume
- 2015
- Issue
- 10
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2108508928
- Cited by
- 219
- References
- 13
- FWCI
- 13.62
- Type
- journal article
- Language
- en
- Open access
- diamond
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
