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Entanglement Entropy in Flat Holography

Hongliang Jiang Department of Physics, The Hong Kong University of Science and Technology Wei Song Yau Mathematical Sciences Center,Tsinghua University Qiang Wen Yau Mathematical Sciences Center,Tsinghua University

Theoretical Physics mathscidoc:1908.39004

Journal of High Energy Physics, 07, (142), 48
BMS symmetry, which is the asymptotic symmetry at null infinity of flat spacetime, is an important input for flat holography. In this paper, we give a holographic calculation of entanglement entropy and Rényi entropy in three dimensional Einstein gravity and Topologically Massive Gravity. The geometric picture for the entanglement entropy is the length of a spacelike geodesic which is connected to the interval at null infinity by two null geodesics. The spacelike geodesic is the fixed points of replica symmetry, and the null geodesics are along the modular flow. Our strategy is to first reformulate the Rindler method for calculating entanglement entropy in a general setup, and apply it for BMS invariant field theories, and finally extend the calculation to the bulk.
Holography, flat space, entanglement entropy, geometry
[ Download ] [ 2019-08-26 21:14:59 uploaded by wenqiang ] [ 1557 downloads ] [ 0 comments ] 
@inproceedings{hongliangentanglement,
  title={Entanglement Entropy in Flat Holography},
  author={Hongliang Jiang, Wei Song, and Qiang Wen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190826211459618551464},
  booktitle={Journal of High Energy Physics},
  volume={07},
  number={142},
  pages={48},
}
Hongliang Jiang, Wei Song, and Qiang Wen. Entanglement Entropy in Flat Holography. Vol. 07. In Journal of High Energy Physics. pp.48. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190826211459618551464.
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