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Holographic description of 2D conformal block in semi-classical limit
Chen, B; Wu, JQ; Zhang JJ(张甲举); Zhang, JJ
2016
发表期刊JOURNAL OF HIGH ENERGY PHYSICS
卷号2016期号:10页码:110
通讯作者张甲举
文章类型Article
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.
关键词AdS-CFT Correspondence Conformal Field Theory
DOI10.1007/jhep10(2016)110
关键词[WOS]SYMMETRY ; GRAVITY
语种英语
WOS记录号WOS:000386666800004
引用统计
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/260605
专题理论物理室
作者单位中国科学院高能物理研究所
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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.
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