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We compute superconformal indices for $\mathcal{N} = 3$ $\hat{ADE}$Chern-Simons quiver gauge theories with a product gauge group $\prod_i U(N)_i$,using the method of supersymmetric localization. We also perform a large $N$analysis of the index. This index includes contribution from non zero magneticflux sector. The fact that these theories have a weakly coupled UV completionin terms of $\mathcal{N}= 3$ supersymmetric Chern-Simons Yang-Mills theoriesenables us to apply the localization technique. Such theories have dualM-theory description on $\mathrm{AdS}_4\times M_7$, where $M_7$ is a tri-SasakiEinstein manifold.

Superconformal Index for $\mathcal{N}=3$ $\hat{ADE}$ Chern-Simons Quiver Gauge Theories