  This article provides a brief discussion of the functional of super Riemann
surfaces from the point of view of classical (i.e. not "super-) differential
geometry. The discussion is based on symmetry considerations and aims to
clarify the "borderline" between classical and super differential geometry with
respect to the distinguished functional that generalizes the action of harmonic
maps and is expected to play a basic role in the discussion of "super
Teichm\"uller space". The discussion is also motivated by the fact that a
geometrical understanding of the functional of super Riemann surfaces from the
point of view of super geometry seems to provide serious issues to treat the
functional analytically.
