Hertz potential

A few months ago I learned about the Hertz potential. If one works with the Lorenz gauge, \[\partial^{\mu} A_{\mu} = 0\] then the gauge field can be written in terms of an antisymmetric tensor
\[A_{\mu} = \partial^{\nu} H_{\nu \mu}\] In $d = 4$ we can have electric and magnetic gauge fields. Similarly, one can have electric and magnetic Hertz potentials.