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arXiv 2102.09549hep-th
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重态AdS $_3$全息关联函数的Regge极限:朝向黑洞区

The Regge limit of AdS$_3$ holographic correlators with heavy states: towards the black hole regime

Nejc Ceplak, Marcel R. R. Hughes

摘要:

我们研究了包含两个重算符和两个轻算符的AdS $_3\times S^3$中全息四点关联函数的Regge极限。在这种运动学机制中,这样的关联函数可以从由轻探针在其穿过与重算子对偶的几何结构时累积的体相移重建。我们的工作微扰-但任意订单-在重运营商的共形尺寸的双CFT ${}_2$的中心荷的比例,从而超越了arXiv:1812.03120和arXiv:2007.12118的低阶结果。在此基础上,我们导出了一类在交叉通道中交换的重-轻多道算符的体相移与Regge极限OPE数据之间的全阶关系。此外,我们分析了两个例子,其中相关的4点关联函数是已知的明确的所有订单:首先是重运营商的情况下,对偶AdS ${}_3$锥形缺陷几何和非平凡的光滑几何的情况下,代表微观态的双电荷D1-D5黑洞。

英文摘要:

We examine the Regge limit of holographic 4-point correlation functions in AdS$_3\times S^3$ involving two heavy and two light operators. In this kinematic regime such correlators can be reconstructed from the bulk phase shift accumulated by the light probe as it traverses the geometry dual to the heavy operator. We work perturbatively -- but to arbitrary orders -- in the ratio of the heavy operator's conformal dimension to the dual CFT${}_2$'s central charge, thus going beyond the low order results of arXiv:1812.03120 and arXiv:2007.12118. In doing so, we derive all-order relations between the bulk phase shift and the Regge limit OPE data of a class of heavy-light multi-trace operators exchanged in the cross-channel. Furthermore, we analyse two examples for which the relevant 4-point correlators are known explicitly to all orders: firstly the case of heavy operators dual to AdS${}_3$ conical defect geometries and secondly the case of non-trivial smooth geometries representing microstates of the two-charge D1-D5 black hole.

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