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We study the large-$N$ limit of superconformal index for two stronglyinteracting Chern-Simons theories in three dimensions with $\mathcal{N}=2$supersymmetry, and compare the result against the AdS/CFT dual, namely the dataof full Kaluza-Klein reduction spectra obtained using the exceptional fieldtheory technique. The two theories of interest are mABJM and GJV theories,which are obtained as IR fixed point of RG whose UV description is ABJM andmaximally supersymmetric Yang-Mills theory respectively. We confirm agreementand the duality persists. For the case of mABJM it turns out that we need arefinement of the gravity index which reflects the fact that the UV descriptionon the field theory side has enhanced global symmetry.

On the Superconformal Index of Chern-Simons theories and their KK Spectrometry