Quiver tails and N=1 SCFTs from M5-branes

Abstract

We study a class of four-dimensional N = 1 superconformal field theories obtained by wrapping M5-branes on a Riemann surface with punctures. We identify four-dimensional UV descriptions of the SCFTs corresponding to curves with a class of punctures. The quiver tails appearing in these UV descriptions differ significantly from their N = 2 counterpart. We find a new type of object that we call the 'Fan'. We show how to construct new N = 1 superconformal theories using the Fan. Various dual descriptions for these SCFTs can be identified with different colored pair-of-pants decompositions. For example, we find an N = 1 analog of Argyres-Seiberg duality for the SU(N ) SQCD with 2N flavors. We also compute anomaly coefficients and superconformal indices for these theories and show that they are invariant under dualities.