RT info:eu-repo/semantics/article
T1 3d gravity and quantum deformations: a Drinfel'd double approach
A1 Ballesteros Castañeda, Ángel
A1 Herranz Zorrilla, Francisco José
A1 Meusburger, Catherine .
K1 Álgebra
K1 Algebra
AB The constant curvature spacetimes of 3d gravity and their associated symmetry algebras are shown to arise from the 6d Drinfel'd double that underlies the two-parametric 'hybrid' quantum deformation of the fraktur sfraktur l(2, Script R) algebra. Moreover, the quantum deformation supplies the additional structures (star structure and pairing) that enter in the Chern-Simons formulation of the theory, thus establishing a direct link between quantum fraktur sfraktur l(2, Script R) algebras and 3d gravity models. In this approach the flat spacetimes and Newtonian models arise as Lie algebra contractions that are governed by two dimensionful fraktur sfraktur l(2, Script R) deformation parameters, which are directly related to the cosmological constant and to the speed of light.
PB IOP Publishing
SN 1742-6588
YR 2012
FD 2012
LK http://hdl.handle.net/10259.4/2559
UL http://hdl.handle.net/10259.4/2559
LA eng
NO Loops 11: Non-Perturbative / Background Independent Quantum Gravity23–28 May 2011, Madrid, Spain
DS Repositorio Institucional de la Universidad de Burgos
RD 26-abr-2024