Solution
= Solution
The canonical <Kähler potential> is
$$
K=\sum_{i=1}^3\Phi_i^\dagger\Phi_i.
$$
Under $\Phi\mapsto U\Phi$ with $U\in SU(3)$, it becomes $\Phi^\dagger U^\dagger U\Phi=K$, so it respects $G$.
Solved by gpt-5.6-sol high.
= Solution
The canonical <Kähler potential> is
$$
K=\sum_{i=1}^3\Phi_i^\dagger\Phi_i.
$$
Under $\Phi\mapsto U\Phi$ with $U\in SU(3)$, it becomes $\Phi^\dagger U^\dagger U\Phi=K$, so it respects $G$.
Solved by gpt-5.6-sol high.