Modifications to Holographic Entanglement Entropy in Warped CFT

Wei Song Tsinghua University Qiang Wen Tsinghua University Jianfei Xu Tsinghua University

Mathematical Physics mathscidoc:1702.22018

Journal of High Energy Physics, 67, (1702), 2016.10
In [1] it was observed that asymptotic boundary conditions play an important role in the study of holographic entanglement beyond AdS/CFT. In particular, the Ryu-Takayanagi proposal must be modified for warped AdS 3 (WAdS 3) with Dirichlet boundary conditions. In this paper, we consider AdS 3 and WAdS 3 with Dirichlet-Neumann bound-ary conditions. The conjectured holographic duals are warped conformal field theories (WCFTs), featuring a Virasoro-Kac-Moody algebra. We provide a holographic calculation of the entanglement entropy and Rényi entropy using AdS 3 /WCFT and WAdS 3 /WCFT du-alities. Our bulk results are consistent with the WCFT results derived by Castro-Hofman-Iqbal using the Rindler method. Comparing with [1], we explicitly show that the holographic entanglement entropy is indeed affected by boundary conditions. Both results differ from the Ryu-Takayanagi proposal, indicating new relations between spacetime geometry and quantum entanglement for holographic dualities beyond AdS/CFT.
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  title={Modifications to Holographic Entanglement Entropy in Warped CFT},
  author={Wei Song, Qiang Wen, and Jianfei Xu},
  booktitle={Journal of High Energy Physics},
Wei Song, Qiang Wen, and Jianfei Xu. Modifications to Holographic Entanglement Entropy in Warped CFT. 2016. Vol. 67. In Journal of High Energy Physics.
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