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Null boundary phase space: slicings, news & memory

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 D. Grumiller Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8–10/136, A-1040, Vienna, Austria 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 C. Zwikel Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8–10/136, A-1040, Vienna, Austria; Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario, N2L 2Y5, Canada

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2206.74027

Journal of High Energy Physics, 2021, 155, 2021.11
We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface N as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of \mathcal{N} and Weyl rescalings. It is generated by D towers of surface charges that are generic functions over \mathcal{N}. These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through \mathcal{N}. In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, \mathcal{N}_v for any fixed value of the advanced time v. Finally, we introduce null surface expansion- and spin-memories, and discuss associated memory effects that encode the passage of gravitational waves through \mathcal{N}, imprinted in a change of the surface charges.
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@inproceedings{h.2021null,
  title={Null boundary phase space: slicings, news & memory},
  author={H. Adami, D. Grumiller, M.M. Sheikh-Jabbari, V. Taghiloo, H. Yavartanoo, and C. Zwikel},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220622152224186225442},
  booktitle={Journal of High Energy Physics},
  volume={2021},
  pages={155},
  year={2021},
}
H. Adami, D. Grumiller, M.M. Sheikh-Jabbari, V. Taghiloo, H. Yavartanoo, and C. Zwikel. Null boundary phase space: slicings, news & memory. 2021. Vol. 2021. In Journal of High Energy Physics. pp.155. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220622152224186225442.
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