Lagrangians for generalized Argyres-Douglas theories

TLDR: In this article, the Lagrangians of all the Argyres-Douglas models with Abelian three dimensional mirror were studied. But they were not shown to fit well on the Coulomb and Higgs branches of the CFT.

Abstract: We continue the study of Lagrangian descriptions of $$ \mathcal{N}=2 $$ 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 $$ \mathcal{N}=1 $$ 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 $$ \mathcal{N}=1 $$ chiral rings map to the Coulomb and Higgs Branches of the $$ \mathcal{N}=2 $$ CFT’s. The three dimensional mirror RG flows are shown to land on the $$ \mathcal{N}=4 $$ 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 $$ \mathcal{N}=4 $$ SQED with 3 flavors.