Quantum double and $κ$-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory

Details Quantum double and $κ$-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory Quantum double and $κ$-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory

2008-08-30

arxiv.org/abs/0809.0052v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures, expanded version of talk at the conference Theory Canada 4, references and explanations added, typos cor

Scientific paper

We review the role of Drinfeld doubles and kappa-Poincare symmetries in quantised (2+1)-gravity and Chern-Simons theory. We discuss the conditions under which a given Hopf algebra symmetry is compatible with a Chern-Simons theory and determine this compatibility explicitly for the Drinfeld doubles and kappa-Poincare symmetries associated with the isometry groups of (2+1)-gravity. In particular, we explain that the usual kappa-Poincare symmetries with a timelike deformation are not directly associated with (2+1)-gravity. These kappa-Poincare symmetries are linked to Chern-Simons theory only in the de Sitter case, and the relevant Chern-Simons theory is physically inequivalent to (2+1)-gravity.

Affiliated with

Also associated with

No associations

Rating

Quantum double and $κ$-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory 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 double and $κ$-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum double and $κ$-Poincaré symmetries in (2+1)-gravity and Chern-Simons theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-613632