Your heroic persona and your mundane persona have different personalities. This maybe because you have a split personality or your super persona might be some form of spirit or posessee with a separate personality. This only applies if you have a distinct heroic identity and mundane identity.
Normally the two personalities are reasonably at ease with each other. For two schticks, they have some sort of interesting conflict.
Decide along with the GM how aware each personality is when not in control, how aware it is of the existence of the other, and how much each remembers of what the other does.
Kheldians in City of Heroes have this limitation.