3d gravity and quantum deformations: A Drinfel'd double approach
Ballesteros A, Herranz FJ, Meusburger C (2012)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2012
Journal
Publisher: Institute of Physics: Open Access Journals / Institute of Physics (IoP)
Book Volume: 360
Article Number: 012010
Event location: Madrid
Journal Issue: 1
DOI: 10.1088/1742-6596/360/1/012010
Abstract
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 (2, ) 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 (2, ) 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 (2, ) deformation parameters, which are directly related to the cosmological constant and to the speed of light. © Published under licence by IOP Publishing Ltd.
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APA:
Ballesteros, A., Herranz, F.J., & Meusburger, C. (2012). 3d gravity and quantum deformations: A Drinfel'd double approach. Journal of Physics : Conference Series, 360(1). https://doi.org/10.1088/1742-6596/360/1/012010
MLA:
Ballesteros, Angel, F. J. Herranz, and Cathérine Meusburger. "3d gravity and quantum deformations: A Drinfel'd double approach." Journal of Physics : Conference Series 360.1 (2012).
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