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We generalize the construction by Aharony, Hashimoto, Hirano, and Ouyang of ${\cal N}=4$ quiver gauge theory with gauge group $U(N+M) \times U(N)$, $k$ fundamentals charged under $U(N)$ and bi-fundamentals, to the case with gauge group $\prod_{i=1}^{\hat k} U(N_i)$ with $k_i$ fundamentals charged under $U(N_i)$.
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