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arXiv · 0710.5844

Lessons from (2+1)-dimensional quantum gravity

B. J. Schroers
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Abstract

Proposals that quantum gravity gives rise to non-commutative spacetime geometry and deformations of Poincare symmetry are examined in the context of (2+1)-dimensional quantum gravity. The results are expressed in five lessons, which summarise how the gravitational constant, Planck's constant and the cosmological constant enter the non-commutative and non-cocommutative structures arising in (2+1)-dimensional quantum gravity. It is emphasised that the much studied bicrossproduct kappa-Poincare algebra does not arise directly in (2+1)-dimensional quantum gravity.

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B. J. Schroers. 2007-10-31. Lessons from (2+1)-dimensional quantum gravity. https://arxiv.org/abs/0710.5844

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