3d quantum gravity and deformed special relativity

          @misc{ scivideos_PIRSA:07090053,
            doi = {10.48660/07090053},
            url = {https://pirsa.org/07090053},
            author = {Schroers, Bernd},
            keywords = {Quantum Gravity},
            language = {en},
            title = {3d quantum gravity and deformed special relativity},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2007},
            month = {sep},
            note = {PIRSA:07090053 see, \url{https://scivideos.org/index.php/pirsa/07090053}}
          }
          

Abstract

In 3d quantum gravity, Planck's constant, the Planck length and the cosmological constant control the lack of (co)-commutativity of quantities like angular momenta, momenta and postion coordinates. I will explain this statement, using the quantum groups which arise in the 3d quantum gravity but avoiding technical details. The non-commutative structures in 3d quantum gravity are quite different from those in the deformed version of special relativity desribed by the kappa-Poincare group, but can be related to the latter by an operation called semi-dualisation. I will explain this operation, and make comments on its possible physical significance. The talk is based on joint work with Shahn Majid.