I'm studying magnetic duality and it seems that duality is nearly complete for the exception of the apparent non-existence of magnetic monopoles.
My issue here isn't this one. My issue is that, if they were introduced, the $B$ field could no longer be described solely as the curl of a vector field such as $A$, instead it would need to be the sum of a scalar and a vector potential, as stated by Helmholtz theorem.
And it seems quite intuitive and logical that, in this now completed symmetry, that $E$ would then require both a scalar and vector potential for itself as well.
But I can't find any source mentioning that.
Is my line of thought correct?
