  In many strongly-coupled systems, the infrared dynamics is described by
different degrees of freedom from the ultraviolet. It is then natural to ask
how operators written in terms of the microscopic variables are mapped to
operators composed of the macroscopic ones. Certain types of operators, like
conserved currents, are simple to map, and in supersymmetric theories one can
also follow the chiral ring. In this note, we consider supersymmetric theories
and extend the mapping to anomalous currents (and gaugino bilinears). Our
technique is completely independent of subtleties associated with the
renormalization group, thereby shedding new light on previous approaches to the
problem. We demonstrate the UV/IR mapping in several examples with different
types of dynamics, emphasizing the uniformity and simplicity of the approach.
Natural applications of these ideas include the effects of soft breaking on the
dynamics of various theories and new models of electroweak symmetry breaking.
