Holographic entanglement entropy for general higher derivative gravity
Open accessAbstract
We propose a general formula for calculating the entanglement entropy in theories dual to higher derivative gravity where the Lagrangian is a contraction of Riemann tensors. Our formula consists of Wald’s formula for the black hole entropy, as well as corrections involving the extrinsic curvature. We derive these corrections by noting that they arise from naively higher order contributions to the action which are enhanced due to would-be logarithmic divergences. Our formula reproduces the Jacobson-Myers entropy in the context of Lovelock gravity, and agrees with existing results for general four-derivative gravity. We emphasize that the formula should be evaluated on a particular bulk surface whose location can in principle be determined by solving the equations of motion with conical boundary conditions. This may be difficult in practice, and an alternative method is desirable. A natural prescription is simply minimizing our formula, analogous to the Ryu-Takayanagi prescription for Einstein gravity. We show that this is correct in several examples including Lovelock and general four-derivative gravity.
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The minimum of the disconnected and completely connected topologies dominates the path integral and gives the unitary Page curve.
“The minimum of the two dominates the path integral and gives the unitary Page curve, see [70,71] (see also [24,84]).”
From The entropy of Hawking radiation (2021) · cites this paper as [24]
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- Authors
- Dong, X.
- Affiliations
- Stanford University (US)
- Corresponding author
- Dong, Xi
- ORCID
- Dong, Xi
- Venue
- Journal of High Energy Physics
- Published
- 2014-01
- Volume
- 2014
- Issue
- 1
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2011753583
- Cited by
- 344
- References
- 6
- Citations by year
- 2026: 14 · 2025: 32 · 2024: 26 · 2023: 22 · 2022: 26 · 2021: 21 · 2020: 22 · 2019: 20 · 2018: 35 · 2017: 21 · 2016: 45 · 2015: 37 · 2014: 23
- FWCI
- 18.52
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- cc-by
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0756174)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- holographic entanglement entropy, higher-derivative gravity, Lovelock gravity, Wald entropy, logarithmic divergence, AdS/CFT correspondence
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