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

Abstract

We look at properties of vortex solutions of the extended CP^N Skyrme-Faddeev model. We show that only holomorphic solutions of the CP^N model are also solutions of the Skyrme-Faddeev model. As the total energy of these solutions is infinite 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.

20 pages, 6 figures

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• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Compact Q-balls and Q-shells in the CPN type models
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Vortices in the extended Skyrme-Faddeev model
• Potentials and the vortex solutions in the $C{P}^N$ Skyrme-Faddeev model
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Collective coordinate quantization and spin statistics of the solitons in the $\mathbb{C}{P}^N$ Skyrme-Faddeev model