The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals

Understand

We compute the large N limit of the localized three dimensional free energy of various field theories with known proposed AdS duals.

• We show that vector-like theories agree with the expected supergravity results, and with the conjectured F-theorem.
• We also check that the large N free energy is preserved by the three dimensional Seiberg duality for general classes of vector like theories.
• Then we analyze the behavior of the free energy of chiral-like theories by applying a new proposal.