Some properties of (3+1) dimensional vortex solutions in the extended CPN Skyrme-Faddeev model

Abstract

We look at properties of vortex solutions of the extended CPN Skyrme-Faddeev model. We show that only holomorphic solutions of the CPN model are also solutions of the Skyrme-Faddeev model. As the total energy of these solutions is in nite these solutions should be interpreted as describing time dependent vortices. We describe their dynamics and, in partcular, point out that one of the terms in the energy density is related to the Noether charge of the model.