  We study the large-$N$ limit of superconformal index for two strongly
interacting Chern-Simons theories in three dimensions with $\mathcal{N}=2$
supersymmetry, and compare the result against the AdS/CFT dual, namely the data
of full Kaluza-Klein reduction spectra obtained using the exceptional field
theory 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 and
maximally supersymmetric Yang-Mills theory respectively. We confirm agreement
and the duality persists. For the case of mABJM it turns out that we need a
refinement of the gravity index which reflects the fact that the UV description
on the field theory side has enhanced global symmetry.
