Large-$N$ limit of chiral quiver theories: free energy, supersymmetric indices and operator counting
We find the first analytic solution to the large-$N$ saddle point equations for the $S^3$ free energy of a chiral $\mathcal N=2$ Chern-Simons-matter theory with an M-theory dual. Focusing on the chiral quiver dual to AdS$_4\times Q^{1,1,1}/\mathbb Z_{\rm k}$, we show how the long-range forces of the matrix model cancel...