Abstract:
Argyres-Douglas (AD) theories constitute an infinite class of 4d N=2 superconformal field theories with a number of interesting properties. A distinctive feature of these theories is the presence of Coulomb branch operators of fractional dimension. In this talk, we discuss several new aspects of such theories, including their conformal manifolds, structures of the Higgs branch, as well as the 3d gauge theories that arise from dimensional reduction on a circle. We present a number of dualities between 3d N=4 gauge theories coming from the latter. The dynamical consequences of one-form symmetries in various AD theories are also discussed in the talk.