首页 | 中心概况 | 人员构成 | 科学研究 | 学术活动 | 招贤纳士 | 资源下载 | 联系我们 | English Version 
 

J. High Energ. Phys. 1909 (2019) 001        arXiv link

Holographic OPE coefficients from AdS black holes with matters

 Yue-Zhou Li1,Zhan-Feng Mai1,*, H. Lü1

* zhanfeng.mai@gmail.com

 1. Center for Joint Quantum Studies and Department of Physics, School of ScienceTianjin UniversityTianjinChina

Abstract

We study the OPE coefficients cΔ, J for heavy-light scalar four-point functions, which can be obtained holographically from the two-point function of a light scalar of some non-integer conformal dimension ΔL in an AdS black hole. We verify that the OPE coefficient cd,0 = 0 for pure gravity black holes, consistent with the tracelessness of the holographic energy-momentum tensor. We then study the OPE coefficients from black holes involving matter fields. We first consider general charged AdS black holes and we give some explicit low-lying examples of the OPE coefficients. We also obtain the recursion formula for the lowest-twist OPE coefficients with at most two current operators. For integer ΔL, although the OPE coefficients are not fully determined, we set up a framework to read off the coefficients γΔ,J of the log(z     z ¯ ) terms that are associated with the anomalous dimensions of the exchange operators and obtain a general formula for γΔ,J. We then consider charged AdS black holes in gauged supergravity STU models in D = 5 and D = 7, and their higher-dimensional generalizations. The scalar fields in the STU models are conformally massless, dual to light operators with ΔL = d − 2. We derive the linear perturbation of such a scalar in the STU charged AdS black holes and obtain the explicit OPE coefficient cd−2,0. Finally, we analyse the asymptotic properties of scalar hairy AdS black holes and show how cd,0 can be nonzero with exchanging scalar operators in these backgrounds.

关闭窗口

天津大学理学院 量子交叉研究中心   地址:天津津南区 雅观路135号 天津大学北洋园校区32楼146 
Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China