  The three dimensional N=2 supersymmetric Chern-Simons theory coupled to
matter fields, possibly deformed by a superpotential, give rise to a large
class of exactly conformal theories with Lagrangian descriptions. These
theories can be arbitrarily weakly coupled, and hence can be studied
perturbatively. We study the theories in the large N limit, and compute the
two-loop anomalous dimension of certain long operators. Our result suggests
that various N=2 U(N) Chern-Simons theories coupled to suitable matter fields
are dual to open or closed string theories in AdS4, which are not yet
constructed.
