Abstract
By applying loop quantum gravity techniques to 3D gravity with a positive cosmological constant , we show how the local gauge symmetry of the theory, encoded in the constraint algebra, acquires the quantum group structure of , with . By means of an Inonu-Wigner contraction of the quantum group bi-algebra, keeping finite, we obtain the kappa-Poincaré algebra of the flat quantum spacetime symmetries.
- Received 20 June 2016
DOI:https://doi.org/10.1103/PhysRevD.94.084044
© 2016 American Physical Society
Physics Subject Headings (PhySH)
Gravitation, Cosmology & Astrophysics