RT info:eu-repo/semantics/article
T1 The κ-(A)dS quantum algebra in (3+1) dimensions
A1 Ballesteros Castañeda, Ángel
A1 Herranz Zorrilla, Francisco José
A1 Musso, Fabio
A1 Naranjo, Pedro
K1 Anti-de Sitter
K1 Cosmological constant
K1 Quantum groups
K1 Poisson–Lie groups
K1 Lie bialgebras
K1 Quantum duality principle
K1 Physics
K1 Física
AB 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.
PB Elsevier
SN 0370-2693
YR 2017
FD 2017-03
LK http://hdl.handle.net/10259/4718
UL http://hdl.handle.net/10259/4718
LA eng
NO Ministerio de Economía y Competitividad (MINECO, Spain) under grant MTM2013-43820-P, and by Junta de Castilla y León (Spain) under grants BU278U14 and VA057U16
DS Repositorio Institucional de la Universidad de Burgos
RD 11-ago-2024