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gr-qc2008★ 78 cited
Generalised Chern-Simons actions for 3d gravity and kappa-Poincare symmetry
Catherine Meusburger, Bernd Schroers
We consider Chern-Simons theories for the Poincare, de Sitter and anti-de Sitter groups in three dimensions which generalise the Chern-Simons formulation of 3d gravity. We determin…
gr-qc2007★ 50 cited
Quaternionic and Poisson-Lie structures in 3d gravity: the cosmological constant as deformation parameter
Catherine Meusburger, Bernd Schroers
Each of the local isometry groups arising in 3d gravity can be viewed as the group of unit (split) quaternions over a ring which depends on the cosmological constant. In this paper…