PIRSA:21110027 Scientific Series Quantum Gravity

DOI10.48660/21110027

Series: Quantum Gravity

Laudonio, M. (2021). 2-Groups in quantum gravity. Perimeter Institute. https://pirsa.org/21110027

Laudonio, Matteo. 2-Groups in quantum gravity. Perimeter Institute, Nov. 18, 2021, https://pirsa.org/21110027 

@misc{ pirsa_PIRSA:21110027,
  doi = {10.48660/21110027},
  url = {https://pirsa.org/21110027},
  author = {Laudonio, Matteo},
  keywords = {Quantum Gravity},
  language = {en},
  title = {2-Groups in quantum gravity},
  publisher = {Perimeter Institute},
  year = {2021},
  month = {nov},
  note = {PIRSA:21110027 see, \url{https://pirsa.org}}
}

Abstract

Quantum groups are the proper tool to describe quantum gravity in three dimensions. Several arguments suggest that 2-groups should be used to formulate four dimensional quantum gravity. I will review these motivations and will discuss in particular how 2-groups can be used to extend the definition of a phase space associated to a triangulation or to modify the notion of group field theory to generate topological models. I will also highlight how the kappa Poincaré deformation arises in the 2-group context.

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