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Quantum groups and noncommutative spacetimes with cosmological constant

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arxiv 1702.04704 v2 pith:PES4IDJY submitted 2017-02-15 hep-th gr-qcmath-phmath.MP

classification hep-thgr-qcmath-phmath.MP
keywords noncommutativequantumspacetimesconstantcosmologicaldeformationgroupslambda
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abstract

Noncommutative spacetimes are widely believed to model some properties of the quantum structure of spacetime at the Planck regime. In this contribution the construction of (anti-)de Sitter noncommutative spacetimes obtained through quantum groups is reviewed. In this approach the quantum deformation parameter $z$ is related to a Planck scale, and the cosmological constant $\Lambda$ plays the role of a second deformation parameter of geometric nature, whose limit $\Lambda\to 0$ provides the corresponding noncommutative Minkowski spacetimes.

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