= Cubic rational-map ansatz for four Skyrmions
{title2=$R(z)=\frac{z^4+2\sqrt3\,iz^2+1}{z^4-2\sqrt3\,iz^2+1}$}
This degree-four <rational map> obeys $R(iz)=1/R(z)$ and $R((iz+1)/(1-iz))=e^{2\pi i/3}R(z)$. These pair the generators of the <rotational symmetry group of a cube> with target rotations, giving combined spatial-isospin symmetry in the <Skyrme model>. Its spatial half-turn kernel is a <Klein four-group>. The map gives a <cubic four-Skyrmion> approximation; preserving only its Wronskian zero set does not guarantee the same rotational symmetry.
Back to article page
