Null solutions to Maxwell equations

by landonlehman

I saw this interesting paper last week (available on the arxiv as 1302.0342).  Maybe someone with more knowledge about such things can answer a question: do such solutions to the Maxwell equations exist in different dimensions?  By different dimensions I mean just trying to extend electromagnetism by changing the number of spatial dimensions (maybe using exterior calculus or something makes this easy, but I don’t know exterior calculus).