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arxiv: 1706.02868 · v3 · pith:DENIXTL2new · submitted 2017-06-09 · ✦ hep-th · gr-qc

kappa-de Sitter and kappa-Poincar\'e symmetries emerging from Chern-Simons (2+1)D gravity with a cosmological constant

classification ✦ hep-th gr-qc
keywords kappacosmologicalgravitysymmetrieschern-simonsconstantpoincarsitter
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Defining a new r-matrix compatible with the scalar product at the basis of the Chern-Simons action for a particle coupled to (2+1) Lorentzian gravity with cosmological constant, I show how deformed symmetries of $\kappa$-de Sitter and, in the vanishing cosmological limit, of $\kappa$-Poincar\'e kind, arise naturally as quantum-deformation of three dimensional gravity. I obtain moreover the non-commutative spacetime associated to these kinds of symmetries.

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