A (2 + 1) non-commutative Drinfel'd double spacetime with cosmological constant

Journal article
(Original article)


Publication Details

Author(s): Ballestreros A, Herranz FJ, Meusburger C
Journal: Physics Letters B
Publisher: Elsevier
Publication year: 2014
Volume: 732
Pages range: 201-209
ISSN: 0370-2693


Abstract


We show that the Drinfel'd double associated to the standard quantum deformation slη(2,R) is isomorphic to the (2 + 1)-dimensional AdS algebra with the initial deformation parameter η related to the cosmological constant Λ = - . This gives rise to a generalisation of a non-commutative Minkowski spacetime that arises as a consequence of the quantum double symmetry of (2 + 1) gravity to non-vanishing cosmological constant. The properties of the AdS quantum double that generalises this symmetry to the case Λ ≠ 0 are sketched, and it is shown that the new non-commutative AdS spacetime is a nonlinear Λ-deformation of the Minkowskian one. © 2014 The Authors.



FAU Authors / FAU Editors

Meusburger, Cathérine Prof.
Professur für Mathematik (Darstellungstheorie und Mathematische Physik)


How to cite

APA:
Ballestreros, A., Herranz, F.J., & Meusburger, C. (2014). A (2 + 1) non-commutative Drinfel'd double spacetime with cosmological constant. Physics Letters B, 732, 201-209. https://dx.doi.org/10.1016/j.physletb.2014.03.036

MLA:
Ballestreros, Angel, Francisco J. Herranz, and Cathérine Meusburger. "A (2 + 1) non-commutative Drinfel'd double spacetime with cosmological constant." Physics Letters B 732 (2014): 201-209.

BibTeX: 

Last updated on 2018-11-10 at 21:50