Chiral massive news: null boundary symmetries in topologically massive 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) ; M.M. Sheikh-Jabbari (School of Physics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran) ; V. Taghiloo (Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), 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, Vienna, A-1040, Austria)

We study surface charges on a generic null boundary in three dimensional topological massive gravity (TMG). We construct the solution phase space which involves four independent functions over the two dimensional null boundary. One of these functions corresponds to the massive chiral propagating graviton mode of TMG. The other three correspond to three surface charges of the theory, two of which can always be made integrable, while the last one can become integrable only in the absence of the chiral massive graviton flux through the null boundary. As the null boundary symmetry algebra we obtain Heisenberg ⊕ Virasoro algebra with a central charge proportional to the gravitational Chern-Simons term of TMG. We also discuss that the flux of the chiral massive gravitons appears as the (Bondi) news through the null surface.

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      "source": "Springer", 
      "value": "We study surface charges on a generic null boundary in three dimensional topological massive gravity (TMG). We construct the solution phase space which involves four independent functions over the two dimensional null boundary. One of these functions corresponds to the massive chiral propagating graviton mode of TMG. The other three correspond to three surface charges of the theory, two of which can always be made integrable, while the last one can become integrable only in the absence of the chiral massive graviton flux through the null boundary. As the null boundary symmetry algebra we obtain Heisenberg \u2295 Virasoro algebra with a central charge proportional to the gravitational Chern-Simons term of TMG. We also discuss that the flux of the chiral massive gravitons appears as the (Bondi) news through the null surface."
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Published on:
28 May 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 5
Pages 1-41
DOI:
https://doi.org/10.1007/JHEP05(2021)261
arXiv:
2104.03992
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: