Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-17
Physics
High Energy Physics
High Energy Physics - Theory
11 pages
Scientific paper
We propose Lagrangian and Hamiltonian formulations of a N=4 supersymmetric three-dimensional isospin-carrying particle moving in the non-Abelian field of a Wu-Yang monopole and in some specific scalar potential. This additional potential is completely fixed by N=4 supersymmetry and in the simplest case of flat metrics it coincides with that which provides the existence of the Runge-Lenz vector for the bosonic subsector. The isospin degrees of freedom are described on the Lagrangian level by bosonic auxiliary variables forming N=4 supermultiplet with additional, also auxiliary fermions. Being quite general, the constructed systems include such interesting cases as N=4 superconformally invariant systems with Wu-Yang monopole, the particles living in the flat R^3 and in the R x S^2 spaces and interacting with the monopole, and also the particles moving on three-dimensional sphere and pseudo-sphere with Wu-Yang monopole sitting in the center. The superfield Lagrangian description of these systems is so simple that one could wonder to see how all couplings and the proper coefficients arise while passing to the component action.
Bellucci Stefano
Krivonos Sergey
Sutulin Anton
No associations
LandOfFree
Three dimensional N=4 supersymmetric mechanics with Wu-Yang monopole 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 Three dimensional N=4 supersymmetric mechanics with Wu-Yang monopole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three dimensional N=4 supersymmetric mechanics with Wu-Yang monopole will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-650413