Space-time from Symmetry: The Moyal Plane from the Poincare-Hopf Algebra

Details Space-time from Symmetry: The Moyal Plane from the Poincare-Hopf Algebra Space-time from Symmetry: The Moyal Plane from the Poincare-Hopf Algebra

2009-02-19

arxiv.org/abs/0902.3409v2

Mod.Phys.Lett.A24:1811-1821,2009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1142/S0217732309031144

We show how to get a non-commutative product for functions on space-time starting from the deformation of the coproduct of the Poincare' group using the Drinfel'd twist. Thus it is easy to see that the commutative algebra of functions on space-time (R^4) can be identified as the set of functions on the Poincare' group invariant under the right action of the Lorentz group provided we use the standard coproduct for the Poincare' group. We obtain our results for the noncommutative Moyal plane by generalizing this result to the case of the twisted coproduct. This extension is not trivial and involves cohomological features. As is known, spacetime algebra fixes the coproduct on the dffeomorphism group of the manifold. We now see that the influence is reciprocal: they are strongly tied.

Affiliated with

Also associated with

No associations

Rating

Space-time from Symmetry: The Moyal Plane from the Poincare-Hopf Algebra 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 Space-time from Symmetry: The Moyal Plane from the Poincare-Hopf Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Space-time from Symmetry: The Moyal Plane from the Poincare-Hopf Algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-260696