|Title: ||Curved momentum spaces from quantum (Anti-)de Sitter groups in (3+1) dimensions|
|Authors: ||Ballesteros, A.|
|Issue Date: ||2018|
|Citation: ||Physical Review D, vol. 97 (2018) 106024|
|Abstract: ||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.|
|Peer Review: ||SI|
|Appears in Collections:||FM - Artículos de revista|
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