  There is a complex conformal transformation, which maps the $D$ - dimensional
real Minkowski space on a bounded set in the $D$ - dimensional complex vector
space. It generalizes the Cayley map from $D=1$ dimensions to higher space-time
dimensions. This transformation provides a very convenient coordinate picture
for Conformal Field Theories called compact picture. In this paper we extend
the compact picture coordinates for superconformal field theories in four
space-time dimensions.
