2020-10-27T07:33:52Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259.4/25592020-01-30T10:47:18Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
00925njm 22002777a 4500
dc
Ballesteros, Ángel
author
Herranz Zorrilla, Francisco José
author
Meusburger, Catherine .
author
2012
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.
1742-6588
http://hdl.handle.net/10259.4/2559
10.1088/1742-6596/360/1/012010
3d gravity and quantum deformations: a Drinfel'd double approach