2020-10-27T07:02:42Zhttps://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
Ballesteros, Ángel
Herranz Zorrilla, Francisco José
Meusburger, Catherine .
2012
Loops 11: Non-Perturbative / Background Independent Quantum Gravity
23–28 May 2011, Madrid, Spain
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.
application/pdf
http://hdl.handle.net/10259.4/2559
eng
IOP Publishing
3d gravity and quantum deformations: a Drinfel'd double approach
Artículo
info:eu-repo/semantics/article
TEXT
RIUBU. Repositorio Institucional de la Universidad de Burgos
Hispana