2024-03-28T18:52:13Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/47192022-04-29T12:02:47Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
2018-02-01T09:16:17Z
urn:hdl:10259/4719
Curved momentum spaces from quantum groups with cosmological constant
Ballesteros Castañeda, Ángel
Gubitosi, G. .
Gutiérrez Sagredo, Iván
Herranz Zorrilla, Francisco José
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.
2018-02-01T09:16:17Z
2018-02-01T09:16:17Z
2017-10
info:eu-repo/semantics/article
0370-2693
http://hdl.handle.net/10259/4719
10.1016/j.physletb.2017.08.008
eng
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
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
Attribution 4.0 International
Elsevier