No abstract

We construct static and also time-dependent solutions in a nonlinear sigma model with target space being the flag manifold F 2 ¼ SUð3Þ=Uð1Þ 2 on the four-dimensional Minkowski spacetime by analytically solving the second-order Euler-Lagrange equation. We show that the static solutions saturate an energy lower bound and can be derived from coupled first-order equations though they are saddle-point solutions. We also discuss basic properties of the time-dependent solutions.

We study fractional Skyrmions in a ℂP2 baby Skyrme model with a generalization of the easy-plane potential. By numerical methods, we find stable, metastable, and unstable solutions taking the shapes of molecules. Various solutions possess discrete symmetries, and the origin of those symmetries are traced back to congruencies of the fields in homogeneous coordinates on ℂP2.