We develop a supersymmetric representation of spin operators which unifies
the Schwinger and Abrikosov representations of SU(N) spin operators, allowi
ng a second-quantized treatment of representations of the SU(N) group with
both symmetric and antisymmetric character. By applying this to the SU(N) K
ondo model, we show that it is possible to develop a controlled treatment o
f both magnetism and the Kondo effect within a single large-N expansion.