By applying loop quantum gravity techniques to 3D gravity with a positive cosmological constant Λ, we show how the local gauge symmetry of the theory, encoded in the constraint algebra, acquires the quantum group structure of soq(4), with q=exp(iΛ/2κ). By means of an Inonu-Wigner contraction of the quantum group bi-algebra, keeping κ finite, we obtain the kappa-Poincaré algebra of the flat quantum spacetime symmetries. © 2016 American Physical Society.
Symmetries of quantum spacetime in three dimensions / Cianfrani, F.; Kowalski Glikman, J.; Pranzetti, Daniele; Rosati, G.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 94:8(2016), pp. 1-17. [10.1103/PhysRevD.94.084044]
Symmetries of quantum spacetime in three dimensions
Pranzetti, Daniele;
2016-01-01
Abstract
By applying loop quantum gravity techniques to 3D gravity with a positive cosmological constant Λ, we show how the local gauge symmetry of the theory, encoded in the constraint algebra, acquires the quantum group structure of soq(4), with q=exp(iΛ/2κ). By means of an Inonu-Wigner contraction of the quantum group bi-algebra, keeping κ finite, we obtain the kappa-Poincaré algebra of the flat quantum spacetime symmetries. © 2016 American Physical Society.| File | Dimensione | Formato | |
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