Abstract
Defining a new -matrix compatible with the scalar product at the basis of the Chern-Simons action for a particle coupled to () Lorentzian gravity with cosmological constant, I show how deformed symmetries of -de Sitter and, in the vanishing cosmological limit, of -Poincaré kind, arise naturally as quantum deformation of three dimensional gravity. I obtain, moreover, the noncommutative spacetime associated with these kinds of symmetries.
- Received 19 June 2017
DOI:https://doi.org/10.1103/PhysRevD.96.066027
© 2017 American Physical Society
Physics Subject Headings (PhySH)
Particles & FieldsGravitation, Cosmology & AstrophysicsGeneral Physics