2024-03-28T20:36:38Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259.4/25592022-04-06T12:39:46Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
3d gravity and quantum deformations: a Drinfel'd double approach
Ballesteros Castañeda, Ángel
Herranz Zorrilla, Francisco José
Meusburger, Catherine .
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.
2014-06-17T09:23:08Z
2014-06-17T09:23:08Z
2012
info:eu-repo/semantics/article
1742-6588
http://hdl.handle.net/10259.4/2559
10.1088/1742-6596/360/1/012010
eng
Journal of Physics: Conference Series, 2012, n. 360, 012010
http://iopscience.iop.org/1742-6596/360/1/012010
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info:eu-repo/semantics/openAccess
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