Holographic entanglement entropy for general higher derivative gravity

被引：0
作者：
Xi Dong
机构：
[1] Stanford University,Stanford Institute for Theoretical Physics, Department of Physics
来源：
Journal of High Energy Physics | / 2014卷
关键词：
Gauge-gravity correspondence; AdS-CFT Correspondence; Black Holes; Holography and condensed matter physics (AdS/CMT);
D O I：
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学科分类号：
摘要：
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.
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  • [1] Bekenstein JD(1973)Black holes and entropy Phys. Rev. D 7 2333-undefined
  • [2] Bardeen JM(1973)The four laws of black hole mechanics Commun. Math. Phys. 31 161-undefined
  • [3] Carter B(1975)Particle creation by black holes Commun. Math. Phys. 43 199-undefined
  • [4] Hawking S(1977)Action integrals and partition functions in quantum gravity Phys. Rev. D 15 2752-undefined
  • [5] Hawking S(2006)Holographic derivation of entanglement entropy from AdS/CFT Phys. Rev. Lett. 96 181602-undefined
  • [6] Gibbons G(2011)Towards a derivation of holographic entanglement entropy JHEP 05 036-undefined
  • [7] Hawking S(2013)Generalized gravitational entropy JHEP 08 090-undefined
  • [8] Ryu S(2013)Holographic entanglement beyond classical gravity JHEP 09 109-undefined
  • [9] Takayanagi T(2013)Quantum corrections to holographic entanglement entropy JHEP 11 074-undefined
  • [10] Casini H(1993)Black hole entropy is the Noether charge Phys. Rev. D 48 3427-undefined
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