N=1 Lagrangians for generalized Argyres-Douglas theories

“ Argyres-Douglas (AD) theories are 4d conformal field theories with N=2 supersymmetry. They were originally formulated as the low energy theory at certain special locii on the Coulomb branch of 4d N=2 theories, where particles with mutually non-local electromagnetic charges become massless simultaneously. It is widely believed that it impossible to write a Lorentz invariant Lagrangian that simultaneously describes electrons as well as monopoles/dyons as elementary excitations. Due to this a Lagrangian for AD theories was not known. I will present some recent work by my collaborators and me, wherein N=1 Lagrangians flowing to IR fixed points described by AD theories were obtained. As is obvious, these Lagrangians have accidental enhancement of supersymmetry in IR. An immediate application of our work was the computation of the full N=2 superconformal index of AD theories. A method to compute this was not available before our work.”