PIRSA:20040086

Quantum group in 3d quantum gravity

Girelli, F. (2020). Quantum group in 3d quantum gravity. Perimeter Institute. https://pirsa.org/20040086

Girelli, Florian. Quantum group in 3d quantum gravity. Perimeter Institute, Apr. 09, 2020, https://pirsa.org/20040086 

          @misc{ pirsa_PIRSA:20040086,
            doi = {10.48660/20040086},
            url = {https://pirsa.org/20040086},
            author = {Girelli, Florian},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Quantum group in 3d quantum gravity},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {apr},
            note = {PIRSA:20040086 see, \url{https://pirsa.org}}
          }

Florian Girelli

University of Waterloo

Talk number
PIRSA:20040086
Collection
Talk Type
Subject
Abstract

It is well-known that quantum groups are relevant to describe the quantum regime of 3d gravity. They encode a deformation of the gauge symmetries (Lorentz symmetries) parametrized by the value of the cosmological constant. They appear as some kind of regularization either through the quantization of the Chern-Simons formulation (Fock-Rosly formulation/combinatorial quantization, path integral quantization) or the state sum approach (Turaev-Viro model). Such deformation might be perplexing from a classical picture since the action is defined in terms of plain/undeformed gauge symmetry. I would like to present here a novel way to derive/justify such quantum group deformation, starting from the classical action.