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dc.contributor.authorBallesteros Castañeda, Ángel 
dc.contributor.authorBruno, N. Rossano 
dc.contributor.authorHerranz Zorrilla, Francisco José 
dc.date.accessioned2018-02-06T08:15:38Z
dc.date.available2018-02-06T08:15:38Z
dc.date.issued2017
dc.identifier.issn1687-7357
dc.identifier.urihttp://hdl.handle.net/10259/4730
dc.description.abstractThe -deformation of the (2 + 1)D anti-de Sitter, Poincaré, 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-double and the Poisson–Lie structure underlying the -deformation are explicitly given, and the three quantum kinematical groups are obtained as quantizations of such Poisson–Lie algebras. As a consequence, the noncommutative (2 + 1)D spacetimes that generalize the -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 noncommutative worldlines. Furthermore, quantum (anti-)de Sitter algebras are presented both in the known basis related to 2 + 1 quantum gravity and in a new one which generalizes the bicrossproduct one. In this framework, the quantum deformation parameter is related to the Planck length, and the existence of a kind of “duality” between the cosmological constant and the Planck scale is also envisaged.en
dc.description.sponsorshipMinisterio de Econom´ıa y Competitividad (MINECO, Spain) under Grants MTM2013-43820-P and MTM2016-79639-P (AEI/FEDER, UE), by Junta de Castilla y Le´on (Spain) under Grants BU278U14 and VA057U16, and by the Action MP1405 QSPACE from the European Cooperation in Science and Technology (COST)en
dc.format.mimetypeapplication/pdf
dc.language.isoenges
dc.publisherHindawi Publishing Corporationen
dc.relation.ispartofAdvances in High Energy Physics. 2017, V. 2017, art. ID 7876942en
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.otherPhysicsen
dc.subject.otherFísicaes
dc.titleNoncommutative relativistic spacetimes and worldlines from 2 + 1 quantum (Anti-)de sitter groupsen
dc.typeinfo:eu-repo/semantics/article
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.relation.publisherversionhttps://doi.org/10.1155/2017/7876942
dc.identifier.doi10.1155/2017/7876942
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2013-43820-P
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2016-79639-P
dc.relation.projectIDinfo:eu-repo/grantAgreement/JCyL/BU278U14
dc.relation.projectIDinfo:eu-repo/grantAgreement/JCyL/VA057U16
dc.relation.projectIDinfo:eu-repo/grantAgreement/UE/COST-MP1405
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen


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