  Supersymmetric field theories possess a rich structure in their supercurrent
supermultiplets. Some symmetries are manifest in one supercurrent
supermultiplet but not in the others; for instance, R-symmetry is manifest in
the R-multiplet but not in the Ferrara-Zumino multiplet. Similarly, we argue
that dilatation symmetry is manifest in the Virial multiplet (also known as a
variant minimal supercurrent supermultiplet in the literature). It reveals that
R-symmetry and dilatation symmetry are conceptually independent without further
assumptions even though the superconformal symmetry connects the two. We show
the structure of the Virial multiplet for general renormalizable supersymmetric
field theories in (1+3) dimension to all orders in perturbation theory, and
discuss the condition for the dilatation invariance (but not necessarily
R-symmetric nor superconformal). We present novel scale invariant trajectories
with a nilpotent structure in coupling constants for non-unitary Wess-Zumino
models with non-vanishing beta functions, which are, therefore, not
superconformal.
