Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-12-18
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 11 pages. To be published in the Proceedings of the Conference ``Symmetries in Gravity and Field Theory'', held 9-11.06
Scientific paper
This paper is presented on the occasion of 60-th birthday of Jose Adolfo de Azcarraga who in his very rich scientific curriculum vitae has also a chapter devoted to studies of quantum-deformed symmetries, in particular deformations of relativistic and Galilean space-time symmetries [1-4]. In this paper we provide new steps toward describing the $\kappa$-deformed D=4 conformal group transformations. We consider the quantization of D=4 conformal group with dimensionful deformation parameter $\kappa$. Firstly we discuss the noncommutativity following from the Lie-Poisson structure described by the light-cone $\kappa$-Poincar\'{e} $r$-matrix. We present complete set of D=4 conformal Lie-Poisson brackets and discuss their quantization. Further we define the light-cone $\kappa$-Poincar\'{e} quantum $R$-matrix in O(4,2) vector representation and discuss the inclusion of noncommutative conformal translations into the framework of $\kappa$-deformed conformal quantum group. The problem with real structure of $\kappa$-deformed conformal group is pointed out.
Kosinski Piotr
Lukierski Jerzy
Maslanka Pawel
No associations
LandOfFree
On kappa-deformed D=4 quantum conformal group 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 On kappa-deformed D=4 quantum conformal group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On kappa-deformed D=4 quantum conformal group will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-308387