Corrections to holographic entanglement plateau

doi:10.1007/JHEP09(2017)151

	Corrections to holographic entanglement plateau
	Li ZB(李志镔); Li, ZB; Zhang, JJ; Chen, B
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2017
期号	9 页码:151
关键词	AdS-CFT Correspondence Conformal Field Theory Field Theories in Lower Dimensions
ISSN号	1029-8479
DOI	10.1007/JHEP09(2017)151
文献子类	Article
英文摘要	We investigate the robustness of the Araki-Lieb inequality in a two-dimensional (2D) conformal field theory (CFT) on torus. The inequality requires that Delta S = S (L) - vertical bar S (L - l) - S (l)vertical bar is nonnegative, where S (L) is the thermal entropy and S (L - l), S (l) are the entanglement entropies. Holographically there is an entanglement plateau in the BTZ black hole background, which means that there exists a critical length such that when l <= l(c) the inequality saturates Delta S = 0. In thermal AdS background, the holographic entanglement entropy leads to Delta S - 0 for arbitrary l. We compute the next-to-leading order contributions to Delta S in the large central charge CFT at both high and low temperatures. In both cases we show that Delta S is strictly positive except for l = 0 or l = L. This turns out to be true for any 2D CFT. In calculating the single interval entanglement entropy in a thermal state, we develop new techniques to simplify the computation. At a high temperature, we ignore the finite size correction such that the problem is related to the entanglement entropy of double intervals on a complex plane. As a result, we show that the leading contribution from a primary module takes a universal form. At a low temperature, we show that the leading thermal correction to the entanglement entropy from a primary module does not take a universal form, depending on the details of the theory.
WOS关键词	FIELD-THEORIES ; STRING THEORY ; GRAVITY
WOS研究方向	Physics
语种	英语
WOS记录号	WOS:000412098100008
内容类型	期刊论文
源URL	[http://ir.ihep.ac.cn/handle/311005/284636]
专题	高能物理研究所_理论物理室高能物理研究所_实验物理中心高能物理研究所_加速器中心
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	Li ZB,Li, ZB,Zhang, JJ,et al. Corrections to holographic entanglement plateau[J]. JOURNAL OF HIGH ENERGY PHYSICS,2017(9):151.
APA	李志镔,Li, ZB,Zhang, JJ,&Chen, B.(2017).Corrections to holographic entanglement plateau.JOURNAL OF HIGH ENERGY PHYSICS(9),151.
MLA	李志镔,et al."Corrections to holographic entanglement plateau".JOURNAL OF HIGH ENERGY PHYSICS .9(2017):151.