A study of N=1 SCFT derived from N=2 SCFT: index and chiral ring

One can derive a large class of new N = 1 SCFTs by turning on N = 1 preserving deformations for N = 2 Argyres-Dougals theories. In this work, we use N = 2 superconformal indices to get indices of N = 1 SCFTs, then use these indices to derive chiral rings of N = 1 SCFTs. For a large class of N = 2 theories, we find that the IR theory contains only free chirals if we deform the parent N = 2 theory using the Coulomb branch operator with smallest scaling dimension. Our results provide interesting lessons on studies of N = 1 theories, such as a-maximization, accidental symmetries, chiral ring, etc.