Resolved gravity duals of N=4 quiver field theories in 2+1 dimensions

We generalize the construction by Aharony, Hashimoto, Hirano, and Ouyang of N = 4 quiver gauge theory with gauge group U(N + M) x U(N), k fundamentals charged under U(N) and bi-fundamentals, to the case with gauge group Pi((k) over cap)(i=1) U(N-i) with k(i) fundamentals charged under U(N-i). This construction is facilitated by considering the resolved ALE((k) over cap) x TNk background in M-theory including non-trivial fluxes through the resolved 4-cycles in the geometry. We also describe the M-theory lift of the IIA Page charge quantization condition. Finally, we clarify the role of string corrections in various regimes of parameter space.