[AnimalMuppet]

So they have to cancel, or we don't have a universe? ("Have to" not because we need electrical neutrality for large-scale matter - though we do need that - but because you can't build a quantum field that doesn't explode in various ways without it.)

[auntienomen]

There's always some risk of confusing the model with the reality, but yeah, if you have chiral fermions interacting through gauge fields and gravity, the charges have to say satisfy all of the anomaly cancellation conditions (there's about half a dozen) or the model will be inconsistent.