Modular Hamiltonians in flat holography and (W)AdS/WCFT

Luis Apolo Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Hongliang Jiang Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland Wei Song Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China; Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, USA Yuan Zhong Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2204.74005

2020.9
We study several aspects of holographic entanglement in two models known as flat3/BMSFT and (W)AdS3/WCFT. These are two examples of holography beyond AdS/CFT where the the boundary field theories are not Lorentz invariant but still feature an infinite set of local symmetries. In the first example, BMS-invariant field theories (BMSFTs) are conjectured to provide a holographic description of quantum gravity in asymptotically flat three-dimensional spacetimes; while in the second example, warped conformal field theories (WCFTs) are proposed to describe quantum gravity in warped AdS3 or AdS3 backgrounds with Dirichlet-Neumann boundary conditions. In particular, we derive the modular Hamiltonian for single intervals in both BMSFTs and WCFTs and find the holographic duals in the bulk using the covariant formulation of gravitational charges. We also extend the first law of entanglement entropy to these models of non-AdS holography and discuss the bound on "modular chaos" introduced recently in the context of the AdS/CFT correspondence.
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@inproceedings{luis2020modular,
  title={Modular Hamiltonians in flat holography and (W)AdS/WCFT},
  author={Luis Apolo, Hongliang Jiang, Wei Song, and Yuan Zhong},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429151527225350166},
  year={2020},
}
Luis Apolo, Hongliang Jiang, Wei Song, and Yuan Zhong. Modular Hamiltonians in flat holography and (W)AdS/WCFT. 2020. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429151527225350166.
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