q-Quaternions and q-deformed su(2) instantons

Details q-Quaternions and q-deformed su(2) instantons q-Quaternions and q-deformed su(2) instantons

2006-03-17

arxiv.org/abs/hep-th/0603138v3

J. Math. Phys. 48 (2007), 102301-102333

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 39 pages. Final version appeared in JMP

Scientific paper

10.1088/1126-6708/2007/02/010

We construct (anti)instanton solutions of a would-be q-deformed su(2) Yang-Mills theory on the quantum Euclidean space R_q^4 [the SO_q(4)-covariant noncommutative space] by reinterpreting the function algebra on the latter as a q-quaternion bialgebra. Since the (anti)selfduality equations are covariant under the quantum group of deformed rotations, translations and scale change, by applying the latter we can generate new solutions from the one centered at the origin and with unit size. We also construct multi-instanton solutions. As they depend on noncommuting parameters playing the roles of `sizes' and `coordinates of the centers' of the instantons, this indicates that the moduli space of a complete theory will be a noncommutative manifold. Similarly, gauge transformations should be allowed to depend on additional noncommutative parameters.

Affiliated with

Also associated with

No associations

Rating

q-Quaternions and q-deformed su(2) instantons 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-Quaternions and q-deformed su(2) instantons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and q-Quaternions and q-deformed su(2) instantons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-80276