Notes on Superconformal Chern-Simons-Matter Theories

Understand

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.