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We study the quantum moduli space of N=2 Chern-Simons quivers with genericranks and CS levels, proving along the way exact formulas for the charges ofbare monopole operators. We then derive N=2 Chern-Simons quiver theories dualto AdS_4 x Y^{p,q}(CP2) M-theory backgrounds, for the whole family ofSasaki-Einstein seven-manifolds and for any value of the torsion G_4 flux. Thederivation of the gauge theories relies on the reduction to type IIA stringtheory, in which M2-branes become D2-branes while the conical geometry maps toRR flux and D6-branes wrapped on compact four-cycles. M5-branes on torsioncycles map to flux and wrapped D4-branes. The moduli space of the quiver isshown to contain the corresponding CY_4 cone and all its crepant resolutions.

Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3