Properties of some (3+1) dimensional vortex solutions of the CP^N model

Abstract

We construct new classes of vortex-like solutions of the CP^N model in (3+1) dimensions and discuss some of their properties. These solutions are obtained by generalizing to (3+1) dimensions the techniques well established for the two dimensional CP^N models. We show that as the total energy of these solutions is infinite, they describe evolving vortices and anti-vortices with the energy density of some configurations varying in time. We also make some further observations about the dynamics of these vortices.

23 pages, 30 figures

References in corpus (2)

• Exact vortex solutions in a CP^N Skyrme-Faddeev type model
• Some (3+1) dimensional vortex solutions of the CPN model

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• Some properties of (3+1) dimensional vortex solutions in the extended CP^N Skyrme-Faddeev model
• BPS Sphalerons in the $F_2$ Non-Linear Sigma Model
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Exact knot solutions in a generalized Skyrme-Faddeev model
• Skyrme-Faddeev Lagrangian from reformulated Georgi-Glashow model