RT info:eu-repo/semantics/article
T1 Curved momentum spaces from quantum (Anti-)de Sitter groups in (3+1) dimensions
A1 Ballesteros Castañeda, Ángel
A1 Gubitosi, G.
A1 Gutiérrez Sagredo, Iván
A1 Herranz, F.J.
AB Curved momentum spaces associated to the k-deformation of the (3+1) de Sitter and Anti-de Sitter algebras are constructed as orbits of suitable actions of the dual Poisson-Lie group associated to the k-deformation with non-vanishing cosmological constant. The k-de Sitter and k-Anti-de Sitter curved momentum spaces are separately analysed, and they turn out to be, respectively, half of the (6+1)-dimensional de Sitter space and half of a space with SO(4, 4) invariance. Such spaces are made of the momenta associated to spacetime translations and the ‘hyperbolic’ momenta associated to boost transformations. The known k-Poincaré curved momentum space is smoothly recovered as the vanishing cosmological constant limit from both of the constructions.
PB APS Physics
SN 2470-0029
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/33631
UL http://uvadoc.uva.es/handle/10324/33631
LA eng
NO Physical Review D, 2018, vol. 97, n. 10. 15 p.
NO Producción Científica
DS UVaDOC
RD 01-may-2024