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Entanglement and chaos in warped conformal field theories

Luis Apolo YMSC Tsinghua University Song He Jilin University Wei Song YMSC Tsinghua University Jianfei Xu Southeast University Junjie Zheng YMSC Tsinghua University

Theoretical Physics mathscidoc:1904.39006

Journal of High Energy Physics, 04, 009, 2019
Various aspects of warped conformal field theories (WCFTs) are studied including entanglement entropy on excited states, the Renyi entropy after a local quench, and out-of-time-order four-point functions. Assuming a large central charge and dominance of the vacuum block in the conformal block expansion, (i) we calculate the single-interval entanglement entropy on an excited state, matching previous finite temperature results by changing the ensemble; and (ii) we show that WCFTs are maximally chaotic, a result that is compatible with the existence of black holes in the holographic duals. Finally, we relax the aforementioned assumptions and study the time evolution of the Renyi entropy after a local quench. We find that the change in the Renyi entropy is topological, vanishing at early and late times, and nonvanishing in between only for charged states in spectrally-flowed WCFTs.
Warped conformal field theories, entanglement entropy, quantum chaos
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@inproceedings{luis2019entanglement,
  title={Entanglement and chaos in warped conformal field theories},
  author={Luis Apolo, Song He, Wei Song, Jianfei Xu, and Junjie Zheng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190430205042955996301},
  booktitle={Journal of High Energy Physics},
  volume={04},
  pages={009},
  year={2019},
}
Luis Apolo, Song He, Wei Song, Jianfei Xu, and Junjie Zheng. Entanglement and chaos in warped conformal field theories. 2019. Vol. 04. In Journal of High Energy Physics. pp.009. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190430205042955996301.
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