RT info:eu-repo/semantics/article
T1 Curved momentum spaces from quantum groups with cosmological constant
A1 Ballesteros Castañeda, Ángel
A1 Gubitosi, Giulia
A1 Gutiérrez Sagredo, Iván
A1 Herranz Zorrilla, Francisco José
K1 Physics
K1 Física
AB 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.
PB Elsevier
SN 0370-2693
YR 2017
FD 2017-10
LK http://hdl.handle.net/10259/4719
UL http://hdl.handle.net/10259/4719
LA eng
NO 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
DS Repositorio Institucional de la Universidad de Burgos
RD 27-abr-2024