2-Groups in 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_21110027,
            doi = {},
            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}}


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.