Abstract
We propose dual pairs of \( \mathcal{N} \) = (0, 4) half-BPS boundary conditions for 3d \( \mathcal{N} \) = 4 Abelian gauge theories related to mirror symmetry and S-duality by showing the matching of boundary ’t Hooft anomalies and supersymmetric indices. We find simple \( \mathcal{N} \) = (0, 4) mirror symmetry between 2d \( \mathcal{N} \) = (0, 4) Abelian gauge theories and free Fermi multiplets that generalizes \( \mathcal{N} \) = (0, 2) Abelian duality. We also propose a prescription for computing half-index of enriched Neumann boundary condition including 2d boundary bosonic matters by gauging the 2d boundary flavor symmetry of Dirichlet boundary condition. By coupling \( \mathcal{N} \) = (0,4) half-BPS boundary configurations of 3d \( \mathcal{N} \) = 4 gauge theories to quarter-BPS corner configurations of 4d \( \mathcal{N} \) = 4 Super Yang-Mills theories, we further obtain a new type of 4d-3d-2d duality that may involve 3d non-Abelian gauge symmetry.
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Okazaki, T. Abelian dualities of \( \mathcal{N} \) = (0, 4) boundary conditions. J. High Energ. Phys. 2019, 170 (2019). https://doi.org/10.1007/JHEP08(2019)170
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DOI: https://doi.org/10.1007/JHEP08(2019)170