  We study the matrix model/gauge theory connection for three different N=1
models: U(N) x U(N) with matter in bifundamental representations, U(N) with
matter in the symmetric representation, and U(N) with matter in the
antisymmetric representation. Using Ward identities, we explicitly show that
the loop equations of the matrix models lead to cubic algebraic curves. We then
establish the equivalence of the matrix model and gauge theory descriptions in
two ways. First, we derive generalized Konishi anomaly equations in the gauge
theories, showing that they are identical to the matrix-model equations.
Second, we use a perturbative superspace analysis to establish the relation
between the gauge theories and the matrix models. We find that the gauge
coupling matrix for U(N) with matter in the symmetric or antisymmetric
representations is_not_ given by the second derivative of the matrix-model free
energy. However, the matrix-model prescription can be modified to give the
gauge coupling matrix.
