Lagrangians for generalized Argyres-Douglas theories

We continue the study of Lagrangian descriptions of N = 2 Argyres-Douglas theories. We use our recent interpretation in terms of sequential confinement to guess the Lagrangians of all the Argyres-Douglas models with Abelian three dimensional mirror. We find classes of four dimensional N = 1 quivers that flow in the infrared to generalized Argyres-Douglas theories, such as the (A(k), A(kN+N-1)) models. We study in detail how the N = 1 chiral rings map to the Coulomb and Higgs Branches of the N = 2 CFT's. The three dimensional mirror RG flows are shown to land on the N = 4 complete graph quivers. We also compactify to three dimensions the gauge theory dual to (A(1), D-4), and find the expected Abelianization duality with N = 4 SQED with 3 flavors.