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Miao, RX; Guo, WZ; Miao, RX (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany.
Holographic entanglement entropy for the most general higher derivative gravity
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordAds-cft Correspondence Classical Theories Of Gravity Black Holes
AbstractThe holographic entanglement entropy for the most general higher derivative gravity is investigated. We find a new type of Wald entropy, which appears on entangling surface without the rotational symmetry and reduces to usual Wald entropy on Killing horizon. 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. In general, we need to fix the splitting problem for the conical metrics in order to derive the holographic entanglement entropy. We find that, at least for Einstein gravity, the splitting problem can be fixed by using equations of motion. How to derive the splittings for higher derivative gravity is a non-trivial and open question. For simplicity, we ignore the splitting problem in this paper and find that it does not affect our main results.
2015
Issue8Pages:31
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1007/JHEP08(2015)031
Indexed BySCI
Funding OrganizationSino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/20901
Collection理论物理所科研产出_SCI期刊论文
Corresponding AuthorMiao, RX (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany.
Recommended Citation
GB/T 7714
Miao, RX,Guo, WZ,Miao, RX . Holographic entanglement entropy for the most general higher derivative gravity[J]. JOURNAL OF HIGH ENERGY PHYSICS,2015(8):31.
APA Miao, RX,Guo, WZ,&Miao, RX .(2015).Holographic entanglement entropy for the most general higher derivative gravity.JOURNAL OF HIGH ENERGY PHYSICS(8),31.
MLA Miao, RX,et al."Holographic entanglement entropy for the most general higher derivative gravity".JOURNAL OF HIGH ENERGY PHYSICS .8(2015):31.
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