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arXiv · 0711.1974

Baby Skyrmions on the Two-Sphere

Itay Hen·Marek Karliner
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Abstract

We find the static multi-soliton solutions of the baby Skyrme model on the two-sphere for topological charges 1 =< B =< 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 3D Skyrme model.

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Itay Hen, Marek Karliner. 2007-12-04. Baby Skyrmions on the Two-Sphere. https://doi.org/10.1103/physreve.77.036612

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