A (2+1) non-commutative Drinfel’d double spacetime with cosmological constant
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چکیده
We show that the Drinfel’d double associated to the standard quantum deformation slη(2,R) is isomorphic to the (2+1)-dimensional AdS algebra with the initial deformation parameter η related to the cosmological constant Λ = −η. This gives rise to a generalisation of a non-commutative Minkowski spacetime that arises as a consequence of the quantum double symmetry of (2+1) gravity to non-vanishing cosmological constant. The properties of the AdS quantum double that generalises this symmetry to the case Λ 6= 0 are sketched, and it is shown that the new non-commutative AdS spacetime is a nonlinear Λ-deformation of the Minkowskian one. PACS: 02.20.Uw 04.60.-m
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تاریخ انتشار 2014