q-deformed conformal and Poincar{é} algebras on quantum 4-spinors

Details q-deformed conformal and Poincar{é} algebras on quantum 4-spinors q-deformed conformal and Poincar{é} algebras on quantum 4-spinors

1992-10-30

arxiv.org/abs/hep-th/9210157v1

Z.Phys. C58 (1993) 559-566

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, KUCP-52, LaTeX file

Scientific paper

10.1007/BF01553014

We investigate quantum deformation of conformal algebras by constructing the quantum space for $sl_q(4,C)$. The differential calculus on the quantum space and the action of the quantum generators are studied. We derive deformed $su(4)$ and $su(2,2)$ algebras from the deformed $sl(4)$ algebra using the quantum 4-spinor and its conjugate spinor. The 6-vector in $so_q(4,2)$ is constructed as a tensor product of two sets of 4-spinors. The reality condition for the 6-vector and that for the generators are found. The q-deformed Poincar{\'e} algebra is extracted as a closed subalgebra.

Affiliated with

Also associated with

No associations

Rating

q-deformed conformal and Poincar{é} algebras on quantum 4-spinors 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 q-deformed conformal and Poincar{é} algebras on quantum 4-spinors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and q-deformed conformal and Poincar{é} algebras on quantum 4-spinors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-84756