Baby Skyrmions on the two-sphere.
We find the static multisoliton solutions of the baby Skyrme model on the two-sphere for topological charges 1< or =B< or =14. Numerical full-field results show that the charge-one Skyrmion is spherical, the charge-two Skyrmion is toroidal, and Skyrmions with higher charge all have point symmetries which are subgroups of O(3). We find that a rational map ansatz yields very good approximations to the full-field solutions. We point out a strong connection between the discrete symmetries of our solutions and those of corresponding solutions of the three-dimensional Skyrme model.
Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv, Israel. itayhe@post.tau.ac.il
Itay
I
Hen
Marek
M
Karliner