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

Abstract

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 $\kappa$-Poincaré kind, arise naturally as quantum-deformation of three dimensional gravity. I obtain moreover the non-commutative spacetime associated to these kinds of symmetries.

arXiv commentThis is an improved version after the journal reviewing process

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Cited by in corpus (5)

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• Physical Constraints on Quantum Deformations of Spacetime Symmetries
• Quantum $D=3$ Euclidean and Poincaré symmetries from contraction limits
• Effective Chern-Simons actions of particles coupled to 3D gravity
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