Abstract
We generalize recent construction of four-dimensional \( \mathcal{N} \) = 1 SCFT from wrapping six-dimensional \( \mathcal{N} \) = (2, 0) theory on a Riemann surface to the case of D-type with outer-automorphism twists. This construction allows us to build various dual theories for a class of \( \mathcal{N} \) = 1 quiver theories of SO-USp type. In particular, we find there are five dual frames to SO(2N)/USp(2N−2)/G 2 gauge theories with (4N−4)/(4N)/8 fundamental flavors, where three of them being non-Lagrangian. We check the dualities by computing the anomaly coefficients and the superconformal indices. In the process we verify that the index of D 4 theory on a certain three punctured sphere with \( {{\mathbb{Z}}_2} \) and \( {{\mathbb{Z}}_3} \) twist lines exhibits expected symmetry enhancement from G 2 × USp(6) to E 7.
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Agarwal, P., Song, J. New N = 1 dualities from M5-branes and outer-automorphism twists. J. High Energ. Phys. 2014, 133 (2014). https://doi.org/10.1007/JHEP03(2014)133
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DOI: https://doi.org/10.1007/JHEP03(2014)133