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.
Titolo: | Symmetries of quantum spacetime in three dimensions |
Autori: | Cianfrani, F.; Kowalski Glikman, J.; Pranzetti, Daniele; Rosati, G. |
Rivista: | |
Data di pubblicazione: | 2016 |
Volume: | 94 |
Fascicolo: | 8 |
Pagina iniziale: | 1 |
Pagina finale: | 17 |
Numero di Articolo: | 084044 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevD.94.084044 |
URL: | https://arxiv.org/abs/1606.03085 http://cdsads.u-strasbg.fr/abs/2016PhRvD..94h4044C |
Appare nelle tipologie: | 1.1 Journal article |
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