Higher curvature gravity from entanglement in conformal field theories
Higher curvature gravity from entanglement in conformal field theories
By generalizing different recent works to the context of higher curvature gravity, we provide a unifying framework for three related results: (i) If an asymptotically AdS spacetime computes the entanglement entropies of ball-shaped regions in a CFT using a generalized Ryu-Takayanagi formula up to second order in state deformations around the vacuum, then the spacetime satisfies the correct gravitational equations of motion up to second order around AdS; (ii) The holographic dual of entanglement entropy in higher curvature theories of gravity is given by Wald entropy plus a particular correction term involving extrinsic curvatures; (iii) CFT relative entropy is dual to gravitational canonical energy (also in higher curvature theories of gravity). Especially for the second point, our novel derivation of this previously known statement does not involve the Euclidean replica trick.
hep-th, gr-qc
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Hijano, Eliot
e6db07ec-1a99-473e-a579-424d3168deb2
Parrikar, Onkar
073eb582-35a8-4336-a731-748fc17cbc11
Rabideau, Charles
f2947b61-a9df-498d-b94c-39798a85e325
16 May 2018
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Hijano, Eliot
e6db07ec-1a99-473e-a579-424d3168deb2
Parrikar, Onkar
073eb582-35a8-4336-a731-748fc17cbc11
Rabideau, Charles
f2947b61-a9df-498d-b94c-39798a85e325
Haehl, Felix M., Hijano, Eliot, Parrikar, Onkar and Rabideau, Charles
(2018)
Higher curvature gravity from entanglement in conformal field theories.
Phys. Rev. Lett., 120 (20), [201602].
(doi:10.1103/PhysRevLett.120.201602).
Abstract
By generalizing different recent works to the context of higher curvature gravity, we provide a unifying framework for three related results: (i) If an asymptotically AdS spacetime computes the entanglement entropies of ball-shaped regions in a CFT using a generalized Ryu-Takayanagi formula up to second order in state deformations around the vacuum, then the spacetime satisfies the correct gravitational equations of motion up to second order around AdS; (ii) The holographic dual of entanglement entropy in higher curvature theories of gravity is given by Wald entropy plus a particular correction term involving extrinsic curvatures; (iii) CFT relative entropy is dual to gravitational canonical energy (also in higher curvature theories of gravity). Especially for the second point, our novel derivation of this previously known statement does not involve the Euclidean replica trick.
More information
Accepted/In Press date: 10 January 2018
Published date: 16 May 2018
Additional Information:
12 pages, 2 figures
Keywords:
hep-th, gr-qc
Identifiers
Local EPrints ID: 471245
URI: http://eprints.soton.ac.uk/id/eprint/471245
PURE UUID: 9e153b51-21d4-4b78-9f1b-441cd6eb13ac
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Date deposited: 01 Nov 2022 17:41
Last modified: 17 Mar 2024 04:14
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Contributors
Author:
Felix M. Haehl
Author:
Eliot Hijano
Author:
Onkar Parrikar
Author:
Charles Rabideau
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