  We present a systematic analysis of the N=8 superspace constraints in three
space-time dimensions. The general coupling between vector and scalar
supermultiplets is encoded in an SO(8) tensor W_{AB} which is a function of the
matter fields and subject to a set of algebraic and super-differential
relations. We show how the conformal BLG model as well as three-dimensional
super Yang-Mills theory provide solutions to these constraints and can both be
formulated in this universal framework.
