PIRSA:21010017 Scientific Series Quantum Gravity

DOI10.48660/21010017

Series: Quantum Gravity

Geiller, M. (2021). A new look at symmetries of 3d gravity. Perimeter Institute. https://pirsa.org/21010017

Geiller, Marc. A new look at symmetries of 3d gravity. Perimeter Institute, Jan. 21, 2021, https://pirsa.org/21010017 

@misc{ pirsa_PIRSA:21010017,
  doi = {10.48660/21010017},
  url = {https://pirsa.org/21010017},
  author = {Geiller, Marc},
  keywords = {Quantum Gravity},
  language = {en},
  title = {A new look at symmetries of 3d gravity},
  publisher = {Perimeter Institute},
  year = {2021},
  month = {jan},
  note = {PIRSA:21010017 see, \url{https://pirsa.org}}
}

Abstract

I will review the analysis of boundary symmetries in first order 3d gravity, and explain how the study of the boundary current algebra and the Sugawara construction actually leads to two dual notions of diffeomorphism charges. This provides a new understanding of the relationship between the second order and first order formulations, and of the existence of finite distance asymptotic symmetries (as strange as this sounds) in topological theories. This analysis is performed on the most general theory of first order 3d gravity, which also enables to understand the duality between curvature and torsion, as well as the relationship with chiral and massive gravity.

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