Abstract
We generalize the construction by Aharony, Hashimoto, Hirano, and Ouyang of \( \mathcal{N}=4 \) quiver gauge theory with gauge group U(N +M) × U(N), k fundamentals charged under U(N ) and bi-fundamentals, to the case with gauge group \( {\displaystyle {\prod}_{i=1}^{\widehat{k}}\kern0.5em \mathrm{U}\left({N}_i\right)} \) with k i fundamentals charged under U(N i ). This construction is facilitated by considering the resolved \( AL{E}_{\widehat{k}}\times T{N}_k \) 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.
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Cottrell, W., Hashimoto, A. Resolved gravity duals of \( \mathcal{N}=4 \) quiver field theories in 2 + 1 dimensions. J. High Energ. Phys. 2016, 57 (2016). https://doi.org/10.1007/JHEP10(2016)057
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DOI: https://doi.org/10.1007/JHEP10(2016)057