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  Holographic Entanglement Entropy for the Most General Higher Derivative Gravity

Miao, R. X., & Guo, W.-z. (2015). Holographic Entanglement Entropy for the Most General Higher Derivative Gravity. Journal of high energy physics: JHEP, 2015(08): 031. doi:10.1007/JHEP08(2015)031.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-68A5-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-5066-9
Genre: Journal Article

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 Creators:
Miao, Rong Xin1, Author              
Guo, Wu-zhong, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: The holographic entanglement entropy for the most general higher derivative gravity is investigated. We find a new type of Wald entropy, which appears in the dynamic spacetime and reduces to usual Wald entropy for stationary black holes. Furthermore, we obtain a formal formula of HEE for the most general higher derivative gravity and work it out exactly for some squashed cones. As an important application, we derive HEE for gravitational action with one derivative of the curvature when the extrinsic curvature vanishes. We also study some toy models with non-zero extrinsic curvature. We prove that our formula yields the correct universal term of entanglement entropy for 4d CFTs. Furthermore, we solve the puzzle raised by Hung, Myers and Smolkin that the logarithmic term of entanglement entropy derived from Weyl anomaly of CFTs does not match the holographic result even if the extrinsic curvature vanishes. We find that such mismatch comes from the `anomaly of entropy' of the derivative of curvature. After considering such contributions carefully, we resolve the puzzle successfully.

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 Dates: 2014-11-202014-11-242015
 Publication Status: Published in print
 Pages: 25 pages, no figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1411.5579
DOI: 10.1007/JHEP08(2015)031
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2015 (08) Sequence Number: 031 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002