Recall that

the electron carries U(1) gauge charge -1.

the U(1) is gauged and mediated by the U(1) gauge boson which is the photon with zero U(1) gauge charge, thus $0$.

Now let us take this problem in the grand unified theory:

https://en.wikipedia.org/wiki/X_and_Y_bosons

https://en.wikipedia.org/wiki/X_(charge)

https://en.wikipedia.org/wiki/Hypercharge

the X is a symmetry and associated with a X charge.

the Y is a symmetry and associated with a hyper Y charge.

question 1: there is a X gauge boson, is that a gauge boson associated to the mediator for the gauged X? So X gauge boson also has a X charge 0?

question 2: there is a Y gauge boson, is that a gauge boson associated to the mediator for the gauged Y? So Y gauge boson also has a hypercharge Y charge 0?

Wikipedia suggests that X and Y have zero X charges.

But Wikipedia suggests that X and Y have nonzero B - L charges $\pm 2/3$, and zero X, thus I conclude that X and Y gauge bosons have nonzero Y charges, due to
$$
Y = (5(B-L)-X)/2
$$
https://en.wikipedia.org/wiki/X_and_Y_bosons

So how come Y gauge boson does not have zero Y gauge charge? (this is in contrast to the photon and X gauge boson example.)

This post imported from StackExchange Physics at 2020-11-28 23:04 (UTC), posted by SE-user annie marie heart