RT info:eu-repo/semantics/article
T1 Curved momentum spaces from quantum groups with cosmological constant
A1 Ballesteros Castañeda, Ángel
A1 Gubitosi, G.
A1 Gutiérrez Sagredo, I.
A1 Herranz, F.J.
AB We bring the concept that quantum symmetries describe theories with nontrivial momentumspace properties one step further, looking at quantum symmetries of spacetime in presence ofa nonvanishing cosmological constant Lambda. 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 Lambda. 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-Poincar´e algebra are smoothly recovered in the limit Lambda → 0, where hyperbolic momenta decouple from translational momenta. The approach here presented is general and can be applied to other quantum deformations of kinematical symmetries, including (3+1)-dimensional ones.
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/33641
UL http://uvadoc.uva.es/handle/10324/33641
LA eng
NO Physics Letters B, vol. 773 (2017) 47
NO Producción Científica
DS UVaDOC
RD 23-nov-2024