Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach

Details Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach

2011-05-19

arxiv.org/abs/1105.3945v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Talk given at Geometry and Physics in Cracow, September 2010; 22 pages, 2 figures

Scientific paper

These notes summarise a talk surveying the combinatorial or Hamiltonian quantisation of three dimensional gravity in the Chern-Simons formulation, with an emphasis on the role of quantum groups and on the way the various physical constants (c,G,\Lambda,\hbar) enter as deformation parameters. The classical situation is summarised, where solutions can be characterised in terms of model spacetimes (which depend on c and \Lambda), together with global identifications via elements of the corresponding isometry groups. The quantum theory may be viewed as a deformation of this picture, with quantum groups replacing the local isometry groups, and non-commutative spacetimes replacing the classical model spacetimes. This point of view is explained, and open issues are sketched.

Affiliated with

Also associated with

No associations

Rating

Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-70579