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We systematically study the AdS/CFT correspondence induced by D3 branesprobing three dimensional Gorenstein quotient singularity $\mathbb{C}^3/G$. Thefield theory is given by the McKay quiver, which has a vanishing NSVZ betafunction assuming that all the chiral fields have the $U(1)_R$ charge$\frac{2}{3}$. Various physical quantities such as quiver Hilbert series,superconformal index, central charges, etc are computed, which match exactlywith those computed using the singularity. We also study the relevantdeformation of those theories and find the dual geometry, therefore generatemany new interesting AdS/CFT pairs. The quiver gauge theory defined usingfinite subgroups of $SO(3)$ group has some interesting features, for example,its Seiberg duality behavior is quite interesting.

Three dimensional quotient singularity and 4d $\mathcal{N}=1$ AdS/CFT correspondence