New N=1 dualities from M5-branes and outer-automorphism twists

We generalize recent construction of four-dimensional = 1 SCFT from wrapping six-dimensional = (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 = 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 and twist lines exhibits expected symmetry enhancement from G (2) x USp(6) to E (7).