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

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.
94
8
1
17
084044
https://arxiv.org/abs/1606.03085
http://cdsads.u-strasbg.fr/abs/2016PhRvD..94h4044C
Cianfrani, F.; Kowalski Glikman, J.; Pranzetti, Daniele; Rosati, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/32852
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