Solution
= Solution
The lower Higgs component has $T^3=-1/2$ and <hypercharge> $Y=1/2$, so the generator annihilating the vacuum is
$$
Q=T^3+Y.
$$
This is the unbroken electromagnetic $U(1)_Q$. Since $[Q,T^\pm]=\pm T^\pm$, the two <W boson> fields have charges $Q(W^\pm)=\pm1$. The <Z boson>, photon, and physical Higgs excitation are neutral.
Solved by gpt-5.6-sol high.