The DOI matches its Crossref record; 54 of the 54 references it cites were found in a registry or an index.
A covariant holographic entanglement entropy proposal
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“The Ryu-Takayanagi formula, including quantum corrections, states that entanglement entropy of the boundary region B is equal to the generalised entropy of the Ryu-Takayanagi surface.”
From Entanglement wedge reconstruction and the information paradox (2020) · cites this paper as [28]
Experimental — accuracy not yet measuredThe source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“In this way, we obtain the quantum extremal surface prescription of [23], and also [20, 21].”
From Replica wormholes and the entropy of Hawking radiation (2020) · cites this paper as [21]
Experimental — accuracy not yet measuredThe source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“The entropy of the black hole is given by the generalized entropy of the quantum extremal surface (QES) [23], which is a quantum-corrected Ryu-Takayanagi (or Hubeny-Rangamani-Takayanagi) surface [20, 21].”
From Replica wormholes and the entropy of Hawking radiation (2020) · cites this paper as [21]
Experimental — accuracy not yet measuredThe source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“The QRT prescription for entanglement entropy between A and ¯ A , or in this case the entanglement entropy between the black hole and the Hawking radiation, is then given by the smallest extremal value of (2.1).”
From Page curve for an evaporating black hole (2020) · cites this paper as [8]
Experimental — accuracy not yet measuredThe source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“This can be explicitly checked with the Ryu-Takayanagi (RT) or the covariant Hubeny-Rangamani-Takayanagi prescription (Ryu and Takayanagi, 2006a,b;Hubeny et al., 2007): The entanglement entropy of a spacelike region A in the CFT is computed in the bulk by the area of a codimension-two minimal surface with boundary anchored on ∂A.”
From Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology (2018) · cites this paper as Hubeny et al., 2007
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In the citing paper
“Furthermore, since the CFT 2 has a holographic dual, the contribution of the χ fields to the entropy can be computed to leading order using the RT/HRT formula [5,6].”
From The Page curve of Hawking radiation from semiclassical geometry (2020) · cites this paper as [6]
The cited source says what the claim attributes to it.
In the citing paper
“In this case, the quantum extremal surface prescription of [7] reduces to the usual RT/HRT [5,6] prescription in the bulk geometry.”
From The Page curve of Hawking radiation from semiclassical geometry (2020) · cites this paper as [6]
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In the citing paper
“The RT/HRT formula states that the entanglement entropy of a subregion R of the boundary theory is proportional to the area of the classical, bulk co-dimension two 3extremal surface that is anchored to the boundary of R and is homologous to R (see Fig. 2).”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [24]
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In the citing paper
“In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory.”
From The Page curve of Hawking radiation from semiclassical geometry (2020) · cites this paper as [6]
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Citations
Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070 · cited 2×
“, GKP-W relation [38, 39] for the AdS/CFT correspondence.”
ResultGauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307 · cited 2×
“, GKP-W relation [38, 39] for the AdS/CFT correspondence.”
ResultAn Alternative to Compactification
Randall, L., & Sundrum, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.4690 · Cited by 7,217
Large N field theories, string theory and gravity
Ofer Aharony, A., Gubser, S. S., MALDACENA, J. M., Ooguri, H., & Oz, Y. (2000) · Physics Reports · doi:10.1016/s0370-1573(99)00083-6 · Cited by 6,395 · cited 3×
“In string theory a natural realization of the holographic principle is manifested by the AdS/CFT correspondence [18, 19] which gives us a precise map between a quantum gravity theory on an asymptotically AdS spacetime M and an ordinary QFT on the conformal boundary ∂M of M.”
BackgroundMethodRyu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302 · cited 8×
“to the bulk-boundary relation within the AdS/CFT context in § 4. In § 5 we illustrate the calculations of the entanglement entropy using our covariant proposal and demonstrate the consistent agreement with the minimal surface prescri pt ion of [24, 10].”
BackgroundMethodInfluentialSelf-citationSusskind, L. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531249 · Cited by 4,085 · cited 1×
“Roughly speaking, the holographic principle states that the number of degrees of freedom in a quantum theory of gravity scales with the area of the system, in contrast to standard QFTs where the entropy is extensive and scales with the volume [15, 16, 17].”
BackgroundBlack hole in three-dimensional spacetime
Bañados, M., Teitelboim, C., & Zanelli, J. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.1849 · Cited by 3,831
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793 · cited 1×
“Recently, entanglement entropies of various 1+1 and 2+1 dimensional condensed matter systems have been actively investigated in order to understand zero temperature quantum phase transitions [11, 4, 12, 13, 14].”
BackgroundBrown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605 · cited 1×
“Using the relation between the central charge of the dual CFT and the bulk Newton’s constant c = 3 2G (3) N [50], we obtain the expression in the dual CFT language”
Method
Research works printed but not linked: 3
- A.B. Zamolodchikov, 1986, Sov. Phys. JETP Lett., 43, 730
- P. Calabrese, 2004, J. Stat. Mech., 0406, 2
- S.W. Hawking, The large scale structure of space-time
Cited by
Sorted by citations
Black holes and the butterfly effect
Shenker, S. H., & Stanford, D. (2014) · Journal of High Energy Physics · doi:10.1007/jhep03(2014)067 · Cited by 1,533
“The RT proposal has been extended to nonstatic geometries in [10].”
MethodGeneralized gravitational entropy
Lewkowycz, A., & Maldacena, J. (2013) · Journal of High Energy Physics · doi:10.1007/jhep08(2013)090 · Cited by 1,183
“There is a generalization of the Ryu-Takayanagi conjecture for situations that are time dependent [34].”
BackgroundInfluentialEntanglement wedge reconstruction and the information paradox
Penington, G. (2020) · Journal of High Energy Physics · doi:10.1007/jhep09(2020)002 · Cited by 968
“However, for general dynamic spacetimes [27], and taking into account quantum corrections [28, 29], it is the quantum extremal surface, homologous to B, with the smallest generalised entropy A(χB)/4GN + Sbulk(χB).”
BackgroundReplica wormholes and the entropy of Hawking radiation
Almheiri, A., Hartman, T., Maldacena, J., Shaghoulian, E., & Tajdini, A. (2020) · Journal of High Energy Physics · doi:10.1007/jhep05(2020)013 · Cited by 910
Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
Engelhardt, N., & Wall, A. C. (2015) · Journal of High Energy Physics · doi:10.1007/jhep01(2015)073 · Cited by 836
“Our ideal candidate for a formula for holographic entanglement entropy in a nonclassical bulk should therefore (1) be sensitive to quantum effects at any order in ~, (2) reproduce the classical HRT formula at O(~−1), and (3) reproduce the result of FLM at O(~0).”
MethodInfluential
Metadata
- Authors
- Hubeny, V. E., Rangamani, M., & Takayanagi, T.
- Affiliations
- Durham University (GB)
- Kyoto University (JP)
- ORCID
- Hubeny, Veronika E
- Venue
- Journal of High Energy Physics
- Published
- 2007-07-23
- Volume
- 2007
- Issue
- 07
- Pages
- 062-062
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2157692768
- Cited by
- 1,822
- References
- 50
- Citations by year
- 2026: 79 · 2025: 151 · 2024: 145 · 2023: 183 · 2022: 182 · 2021: 195 · 2020: 179 · 2019: 144 · 2018: 115 · 2017: 91 · 2016: 112 · 2015: 74 · 2014: 73 · 2013: 36 · 2012: 18
- FWCI
- 6.12
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of High Energy Physics (publishedVersion)
- Durham Research Online (Durham University) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- Durham Research Online (Durham University) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- Japan Society for the Promotion of Science (19GS0219)
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara
- 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
- holographic entanglement entropy, covariant entropy bound, light sheet, AdS/CFT correspondence, Euclidean wormholes
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