Action growth for AdS black holes

doi:http://dx.doi.org/10.1007/JHEP09(2016)161

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	Action growth for AdS black holes
	Cai, RG; Ruan, SM ; Wang, SJ ; Yang, RQ ; Peng, RH
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2016
期号	9 页码:161
关键词	Black Holes COMPUTATIONAL-COMPLEXITY AdS-CFT Correspondence THERMODYNAMICS Conformal Field Theory HORIZONS
DOI	http://dx.doi.org/10.1007/JHEP09(2016)161
英文摘要	Recently a Complexity-Action (CA) duality conjecture has been proposed, which relates the quantum complexity of a holographic boundary state to the action of a Wheeler-DeWitt (WDW) patch in the anti-de Sitter (AdS) bulk. In this paper we further investigate the duality conjecture for stationary AdS black holes and derive some exact results for the growth rate of action within the Wheeler-DeWitt (WDW) patch at late time approximation, which is supposed to be dual to the growth rate of quantum complexity of holographic state. Based on the results from the general D-dimensional Reissner-Nordstrom (RN)-AdS black hole, rotating/charged Bafiados-Teitelboim-Zanelli (BTZ) black hole, Kerr-AdS black hole and charged Gauss-Bonnet-AdS black hole, we present a universal formula for the action growth expressed in terms of some thermodynamical quantities associated with the outer and inner horizons of the AdS black holes. And we leave the conjecture unchanged that the stationary AdS black hole in Einstein gravity is the fastest computer in nature.
学科主题	Physics
语种	英语
资助机构	National Natural Science Foundation of China [11375247, 11435006]
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23029]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, 55 Zhong Guan Cun East St, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yunnan Rd, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cai, RG,Ruan, SM,Wang, SJ,et al. Action growth for AdS black holes[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016(9):161.
APA	Cai, RG,Ruan, SM,Wang, SJ,Yang, RQ,&Peng, RH.(2016).Action growth for AdS black holes.JOURNAL OF HIGH ENERGY PHYSICS(9),161.
MLA	Cai, RG,et al."Action growth for AdS black holes".JOURNAL OF HIGH ENERGY PHYSICS .9(2016):161.