2024-08-10T19:31:47Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/47182022-04-29T12:02:47Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
00925njm 22002777a 4500
dc
Ballesteros Castañeda, Ángel
author
Herranz Zorrilla, Francisco José
author
Musso, Fabio
author
Naranjo, Pedro
author
2017-03
The quantum duality principle is used to obtain explicitly the Poisson analogue of the κ-(A)dS quantum algebra in (3+1) dimensions as the corresponding Poisson–Lie structure on the dual solvable Lie group. The construction is fully performed in a kinematical basis and deformed Casimir functions are also explicitly obtained. The cosmological constant is included as a Poisson–Lie group contraction parameter, and the limit →0leads to the well-known κ-Poincaré algebra in the bicrossproduct basis. A twisted version with Drinfel’d double structure of this κ-(A)dS deformation is sketched.
0370-2693
http://hdl.handle.net/10259/4718
10.1016/j.physletb.2017.01.020
Anti-de Sitter
Cosmological constant
Quantum groups
Poisson–Lie groups
Lie bialgebras
Quantum duality principle
The κ-(A)dS quantum algebra in (3+1) dimensions