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oai:riubu.ubu.es:10259/47192022-04-29T12:02:47Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558

Ballesteros Castañeda, Ángel 46 500 Gubitosi, G. . eff67c01-5813-4a32-810a-fb467bff6f91 500 Gutiérrez Sagredo, Iván 270 500 Herranz Zorrilla, Francisco José 280 500 2018-02-01T09:16:17Z 2018-02-01T09:16:17Z 2017-10 0370-2693 http://hdl.handle.net/10259/4719 10.1016/j.physletb.2017.08.008 We bring the concept that quantum symmetries describe theories with nontrivial momentum space properties one step further, looking at quantum symmetries of spacetime in presence of a nonvanish-ing cosmological constant . In particular, the momentum space associated to the κ-deformation of the de Sitter algebra in (1 +1)and (2 +1)dimensions is explicitly constructed as a dual Poisson–Lie group manifold parametrized by . Such momentum space includes both the momenta associated to spacetime translations and the ‘hyperbolic’ momenta associated to boost transformations, and has the geometry of (half of) a de Sitter manifold. Known results for the momentum space of the κ-Poincaré algebra are smoothly recovered in the limit →0, where hyperbolic momenta decouple from translational mo-menta. The approach here presented is general and can be applied to other quantum deformations of kinematical symmetries, including (3 +1)-dimensional ones. A.B., I.G-S and F.J.H. have been partially supported by Ministerio de Economía y Competitividad (MINECO, Spain) under grants MTM2013-43820-P and MTM2016-79639-P (AEI/FEDER, UE), by Junta de Castilla y León (Spain) under grants BU278U14 and VA057U16 and by the Action MP1405 QSPACE from the European Cooperation in Science and Technology (COST). G.G. acknowledges support from the John Templeton Foundation through grant Nr. 47633 application/pdf eng Elsevier Physics Letters B. 2017, V. 773, p. 47-53 https://doi.org/10.1016/j.physletb.2017.08.008 info:eu-repo/grantAgreement/MINECO/MTM2013-43820-P info:eu-repo/grantAgreement/MINECO/MTM2016-79639-P info:eu-repo/grantAgreement/JCyL/BU278U14 info:eu-repo/grantAgreement/JCyL/VA057U16 info:eu-repo/grantAgreement/UE/COST-MP1405 info:eu-repo/grantAgreement/JohnTempletonFoundation/47633 Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Physics Física Curved momentum spaces from quantum groups with cosmological constant info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion CC-LICENSE license_rdf license_rdf application/rdf+xml; charset=utf-8 908 https://riubu.ubu.es/bitstream/10259/4719/8/license_rdf 0175ea4a2d4caec4bbcc37e300941108 MD5 8 THUMBNAIL Ballesteros-PLB_2017_Curved.pdf.jpg Ballesteros-PLB_2017_Curved.pdf.jpg IM Thumbnail image/jpeg 4849 https://riubu.ubu.es/bitstream/10259/4719/7/Ballesteros-PLB_2017_Curved.pdf.jpg ba10ac3b450484e39446fe8ac6c983b9 MD5 7 ORIGINAL Ballesteros-PLB_2017_Curved.pdf Ballesteros-PLB_2017_Curved.pdf application/pdf 291377 https://riubu.ubu.es/bitstream/10259/4719/1/Ballesteros-PLB_2017_Curved.pdf 18cbb3f0cbf555e68d1b7ff643bbe0f9 MD5 1 LICENSE license.txt license.txt text/plain; charset=utf-8 998 https://riubu.ubu.es/bitstream/10259/4719/5/license.txt aa90105e1c90a1b4fe810649aa967b7d MD5 5 TEXT Ballesteros-PLB_2017_Curved.pdf.txt Ballesteros-PLB_2017_Curved.pdf.txt Extracted text text/plain 42024 https://riubu.ubu.es/bitstream/10259/4719/6/Ballesteros-PLB_2017_Curved.pdf.txt e73efef5e72a13b9a39dcfbf07401430 MD5 6 10259/4719 oai:riubu.ubu.es:10259/4719 2022-04-29 14:02:47.315 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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