Meusburger C (2009)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2009
Publisher: NRC Research Press (Canadian Science Publishing)
Book Volume: 87
Pages Range: 245-250
Journal Issue: 3
DOI: 10.1139/P08-076
We clarify the role of Drinfeld doubles and κ-Poincaré symmetries in quantized (2+1)-gravity and Chern-Simons theory. We discuss the conditions under which a given Hopf algebra symmetry is compatible with a Chern-Simons theory and determine this compatibility explicitly for the Drinfeld doubles and κ-Poincaré symmetries associated with the isometry groups of (2+1)-gravity. In particular, we show that κ-Poincaré symmetries with a timelike deformation are not directly associated with (2+1)-gravity. The association between these κ-Poincaré symmetries and Chern-Simons theory is possible only in the de Sitter case and the relevant Chern-Simons theory is physically inequivalent to (2+1)-gravity.
APA:
Meusburger, C. (2009). Quantum double and κ-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory. Canadian Journal of Physics, 87(3), 245-250. https://dx.doi.org/10.1139/P08-076
MLA:
Meusburger, Cathérine. "Quantum double and κ-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory." Canadian Journal of Physics 87.3 (2009): 245-250.
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