Lessons from (2+1)-dimensional quantum gravity
General Relativity and Quantum Cosmology
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0710.5844,
title = {Lessons from (2+1)-dimensional quantum gravity},
author = {B. J. Schroers},
journal= {arXiv preprint arXiv:0710.5844},
year = {2008}
}
Comments
17 pages, two figures, based on talk given at the conference ``From Quantum to Emergent Gravity: Theory and Phenomenology'',June 11-15 2007, Trieste, Italy