Abstract
Two-dimensional \( \mathcal{N}=\left(0,\ 4\right) \) supersymmetric quiver gauge theories are realized as D3-brane box configurations (two dimensional intervals) which are bounded by NS5-branes and intersect with D5-branes. The periodic brane configuration is mapped to D1-D5-D5′ brane system at orbifold singularity via T-duality. The matter content and interactions are encoded by the \( \mathcal{N}=\left(0,\ 4\right) \) quiver diagrams which are determined by the brane configurations. The Abelian gauge anomaly cancellation indicates the presence of Fermi multiplets at the NS-NS′ junction. We also discuss the brane construction of \( \mathcal{N}=\left(0,\ 4\right) \) supersymmetric boundary conditions in 3d \( \mathcal{N}=4 \) gauge theories involving two-dimensional boundary degrees of freedom that cancel gauge anomaly.
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Hanany, A., Okazaki, T. (0,4) brane box models. J. High Energ. Phys. 2019, 27 (2019). https://doi.org/10.1007/JHEP03(2019)027
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DOI: https://doi.org/10.1007/JHEP03(2019)027