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Symmetries at causal boundaries in 2D and 3D gravity

H. Adami Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China; Beijing Institute of Mathematical Sciences and Applications (BIMSA), Huairou District, Beijing 101408, P.R. China Pujian Mao Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, China M.M. Sheikh-Jabbari School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O.Box 19395-5531, Tehran, Iran V. Taghiloo School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O.Box 19395-5531, Tehran, Iran; Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), P.O. Box 45137-66731, Zanjan, Iran H. Yavartanoo Beijing Institute of Mathematical Sciences and Applications (BIMSA), Huairou District, Beijing 101408, P.R. China

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2206.74025

Journal of High Energy Physics, 2022, 189, 2022.5
We study 2d and 3d gravity theories on spacetimes with causal (timelike or null) codimension one boundaries while allowing for variations in the position of the boundary. We construct the corresponding solution phase space and specify boundary degrees freedom by analysing boundary (surface) charges labelling them. We discuss Y and W freedoms and change of slicing in the solution space. For D dimensional case we find D + 1 surface charges, which are generic functions over the causal boundary. We show that there exist solution space slicings in which the charges are integrable. For the 3d case there exists an integrable slicing where charge algebra takes the form of Heisenberg ⊕ A3 where A3 is two copies of Virasoro at Brown-Henneaux central charge for AdS3 gravity and BMS3 for the 3d flat space gravity.
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@inproceedings{h.2022symmetries,
  title={Symmetries at causal boundaries in 2D and 3D gravity},
  author={H. Adami, Pujian Mao, M.M. Sheikh-Jabbari, V. Taghiloo, and H. Yavartanoo},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220622151410189648438},
  booktitle={Journal of High Energy Physics},
  volume={2022},
  pages={189},
  year={2022},
}
H. Adami, Pujian Mao, M.M. Sheikh-Jabbari, V. Taghiloo, and H. Yavartanoo. Symmetries at causal boundaries in 2D and 3D gravity. 2022. Vol. 2022. In Journal of High Energy Physics. pp.189. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220622151410189648438.
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