Holographic description of 2D conformal block in semi-classical limit

doi:10.1007/jhep10(2016)110

	Holographic description of 2D conformal block in semi-classical limit
	Chen, B; Wu, JQ; Zhang JJ(张甲举); Zhang, JJ
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2016
卷号	2016 期号:10 页码:110
关键词	AdS-CFT Correspondence Conformal Field Theory
DOI	10.1007/jhep10(2016)110
通讯作者	张甲举
文献子类	Article
英文摘要	In this paper, we study the holographic descriptions of the conformal block of heavy operators in two-dimensional large c conformal field theory. We consider the case that the operators are pairwise inserted such that the distance between the operators in a pair is much smaller than the others. In this case, each pair of heavy operators creates a conical defect in the bulk. We propose that the conformal block is dual to the on-shell action of three dimensional geometry with conical defects in the semi-classical limit. We show that the variation of the on-shell action with respect to the conical angle is equal to the length of the corresponding conical defect. We derive this differential relation on the conformal block in the field theory by introducing two extra light operators as both the probe and the perturbation. Our study also suggests that the area law of the holographic Renyi entropy must holds for a large class of states generated by a finite number of heavy operators insertion.
WOS关键词	SYMMETRY ; GRAVITY
语种	英语
WOS记录号	WOS:000386666800004
内容类型	期刊论文
源URL	[http://ir.ihep.ac.cn/handle/311005/260605]
专题	高能物理研究所_理论物理室
作者单位	中国科学院高能物理研究所
推荐引用方式 GB/T 7714	Chen, B,Wu, JQ,Zhang JJ,et al. Holographic description of 2D conformal block in semi-classical limit[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016,2016(10):110.
APA	Chen, B,Wu, JQ,张甲举,&Zhang, JJ.(2016).Holographic description of 2D conformal block in semi-classical limit.JOURNAL OF HIGH ENERGY PHYSICS,2016(10),110.
MLA	Chen, B,et al."Holographic description of 2D conformal block in semi-classical limit".JOURNAL OF HIGH ENERGY PHYSICS 2016.10(2016):110.