Rényi Mutual Information in Holographic Warped CFTs

Bin Chen Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 5 Yiheyuan Rd, Beijing 100871, P. R. China; Collaborative Innovation Center of Quantum Matter, 5 Yiheyuan Rd, Beijing 100871, P. R. China; Center for High Energy Physics, Peking University, 5 Yiheyuan Rd, Beijing 100871, P. R. China Peng-Xiang Hao Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 5 Yiheyuan Rd, Beijing 100871, P. R. China Wei Song Yau Mathematical Science Center, Tsinghua University, Beijing 100084, P. R. China

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2204.74009

2019.5
The study of Rényi mutual information (RMI) sheds light on the AdS/CFT correspondence beyond classical order. In this article, we study the Rényi mutual information between two intervals at large distance in two-dimensional holographic warped conformal field theory, which is conjectured to be dual to the gravity on AdS3 or warped AdS3 spacetime under the Dirichlet-Newman boundary conditions. By using the operator product expansion of twist operators up to level 3, we read the leading oder and the next-toleading order RMI in the large central charge and small cross-ratio limits. The leading order result is furthermore confirmed using the conformal block expansion. Finally, we match the next-to-leading result by a 1-loop calculation in the bulk.
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@inproceedings{bin2019rényi,
  title={Rényi Mutual Information in Holographic Warped CFTs},
  author={Bin Chen, Peng-Xiang Hao, and Wei Song},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429152700952292170},
  year={2019},
}
Bin Chen, Peng-Xiang Hao, and Wei Song. Rényi Mutual Information in Holographic Warped CFTs. 2019. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429152700952292170.
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