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We consider Chern-Simons theories for the Poincare, de Sitter and anti-deSitter groups in three dimensions which generalise the Chern-Simons formulationof 3d gravity. We determine conditions under which kappa-Poincare symmetry andits de Sitter and anti-de Sitter analogues can be associated to these theoriesas quantised symmetries. Assuming the usual form of those symmetries, with atimelike vector as deformation parameter, we find that such an association ispossible only in the de Sitter case, and that the associated Chern-Simonsaction is not the gravitational one. Although the resulting theory and 3dgravity have the same equations of motion for the gauge field, they are notequivalent, even classically, since they differ in their symplectic structureand the coupling to matter. We deduce that kappa-Poincare symmetry is notassociated to either classical or quantum gravity in three dimensions. Startingfrom the (non-gravitational) Chern-Simons action we explain how to construct amulti-particle model which is invariant under the classical analogue ofkappa-de Sitter symmetry, and carry out the first steps in that construction.

Generalised Chern-Simons actions for 3d gravity and kappa-Poincare symmetry