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[Submitted on 30 Aug 2008 (v1), last rev...
Meusburger, C....
[Submitted on 30 Aug 2008 (v1), last revised 17 Sep 2008 (this version, v2)] Quantum double and κ-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory by Meusburger, C. ( Author )
N.A
30-08-2008
We review the role of Drinfeld doubles and kappa-Poincare symmetries in quantised (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 kappa-Poincare symmetries associated with the isometry groups of (2+1)-gravity. In particular, we explain that the usual kappa-Poincare symmetries with a timelike deformation are not directly associated with (2+1)-gravity. These kappa-Poincare symmetries are linked to Chern-Simons theory only in the de Sitter case, and the relevant Chern-Simons theory is physically inequivalent to (2+1)-gravity.
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Article
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English
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MYR 0.00
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https://arxiv.org/abs/0809.0052
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