Free Energy of D_n Quiver Chern-Simons Theories

Understand

We apply the matrix model of Kapustin, Willett and Yaakov to compute the free energy of N=3 Chern-Simons matter theories with D_n quivers in the large N limit.

• We conjecture a general expression for the free energy that is explicitly invariant under Seiberg duality and show that it can be interpreted as a sum over certain graphs known as signed graphs.
• Through the AdS/CFT correspondence, this leads to a prediction for the volume of certain tri-Sasaki Einstein manifolds.
• We also study the unfolding procedure, which relates these D_n quivers to A_{2n-5} quivers.