  We construct a class of operators, given by Schur polynomials, in ABJM
theory. By computing two point functions at finite $N$ we confirm these are
diagonal for this class of operators in the free field limit. We also calculate
exact three and multi point correlators in the zero coupling limit. Finally, we
consider a particular nontrivial background produced by an operator with an
$R$-charge of $O(N^2$. We show that the nonplanar corrections (which can no
longer be neglected, even at large $N$) can be resummed to give a $1/(N+M)$
expansion for correlators computed in this background.
