Holographic entanglement entropy for the most general higher derivative gravity

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	Holographic entanglement entropy for the most general higher derivative gravity
	Miao, RX; Guo, WZ
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2015
期号	8 页码:31
关键词	AdS-CFT Correspondence Classical Theories of Gravity Black Holes
通讯作者	Miao, RX (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany.
英文摘要	The 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.
学科主题	Physics
类目[WOS]	Physics, Particles & Fields
关键词[WOS]	ANOMALIES
收录类别	SCI
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/20901]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Miao, RX,Guo, WZ. Holographic entanglement entropy for the most general higher derivative gravity[J]. JOURNAL OF HIGH ENERGY PHYSICS,2015(8):31.
APA	Miao, RX,&Guo, WZ.(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.