Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions

Abstract

We generalize the construction by Aharony, Hashimoto, Hirano, and Ouyang of $\mathcal{N}=4$ 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 $U(N_i)$. This construction is facilitated by considering the resolved $AL{E}_{\hat{k}}\times T{N}_k$ 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.

34 pages, 11 figures

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• Anomalous radius shift in AdS(4)/CFT(3)
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Cited by in corpus (4)

• The Infrared Physics of Bad Theories
• Stringy Horizons II
• Marginal Deformations of 3d N=4 Linear Quiver Theories
• Mixed moduli in 3d N=4 higher-genus quivers