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Please use this identifier to cite or link to this item: http://uvadoc.uva.es/handle/10324/33642
Title: Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
Authors: Ballesteros, A.
Bruno, N.R.
Herranz, F.J.
Issue Date: 2017
Description: Producción Científica
Citation: Advances in High Energy Physics, vol. 2017, Article ID 7876942, 19 pages (2017)
Abstract: The κ-deformation of the (2+1)D anti-de Sitter, Poincar´e and de Sitter groups is presented through a unified approach in which the curvature of the spacetime (or the cosmological constant) is considered as an explicit parameter. The Drinfel’d–doubleand the Poisson–Lie structure underlying the κ-deformation are explicitly given, andthe three quantum kinematical groups are obtained as quantizations of such Poisson–Lie algebras. As a consequence, the non-commutative (2+1)D spacetimes that generalize the κ-Minkowski space to the (anti-)de Sitter ones are obtained. Moreover, noncommutative 4D spaces of (time-like) geodesics can be defined, and they can be interpreted as a novel possibility to introduce non-commutative worldlines. Furthermore, quantum (anti-)de Sitter algebras are presented both in the known basis related with 2+1 quantum gravity and in a new one which generalizes the bicrossproduct one. In this framework, the quantum deformation parameter is related with the Planck length, and the existence of a kind of “duality” between the cosmological constant and the Planck scale is also envisaged.
Peer Review: SI
Language: eng
URI: http://uvadoc.uva.es/handle/10324/33642
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:FM - Artículos de revista

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