Abstract
The
three dimensional 
= 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 = 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.
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