= Isorotation
{title2=$U\mapsto AUA^\dagger$}
= Isospin rotation
{synonym}
An <isorotation> is a global transformation generated by <isospin>. In the <pion> <Skyrme model> it acts as $U\mapsto AUA^\dagger$, with constant $A\in SU(2)$, rotating the three <pion> components while preserving the scalar component. The matrices $A$ and $-A$ induce the same classical <rotation>, so this action factors through $SO(3)$; <quantum states> may carry half-integer <isospin> on its $SU(2)$ cover. This global internal <rotation> is distinct from a spatial <rotation> or a local <gauge transformation>.
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