Lessons from (2+1)-dimensional quantum gravity

Details Lessons from (2+1)-dimensional quantum gravity Lessons from (2+1)-dimensional quantum gravity

2007-10-31

arxiv.org/abs/0710.5844v1

PoSQG-Ph:035,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, two figures, based on talk given at the conference ``From Quantum to Emergent Gravity: Theory and Phenomenology'',Ju

Scientific paper

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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