PIRSA:07090053 Scientific Series Quantum Gravity

DOI10.48660/07090053

Conference/School: Workshop on Quantum Gravity in the Americas: Status and future directions - 2004

Schroers, B. (2007). 3d quantum gravity and deformed special relativity. Perimeter Institute. https://pirsa.org/07090053

Schroers, Bernd. 3d quantum gravity and deformed special relativity. Perimeter Institute, Sep. 20, 2007, https://pirsa.org/07090053 

@misc{ pirsa_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},
  year = {2007},
  month = {sep},
  note = {PIRSA:07090053 see, \url{https://pirsa.org}}
}

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.

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