While studying SUSY in 4D, I noticed the dynamical chiral superfield has dimension [GeV], whereas the dynamical vector superfield (for gauge theories) is unitless. Because I was introduced to the chiral and vector superfields as being irreducible components of a more general superfield, it seemed strange to me that they could have different mass dimensions.
But then I realized that this is not alien to me: in the Standard Model of electroweak interactions, the Dirac spinors which have left-chiral and right-chiral irreducible components carry different weak charges!
So is it reasonable to think of the mass dimension of a field to be yet another quantum number? For example, the chiral superfield is charge +1 and vector superfield is charge 0. Could I write down a transformation law? Can I do something as perverse as make it local?