Operator spectroscopy for 4D SCFTs with a = c

We study a rich set of four-dimensional superconformal field theories with both central charges identical: a = c. These are constructed via the diagonal N = 2 or N = 1 gauging of the flavor symmetry G of a collection of N = 2 Argyres-Douglas theories of type Dp(G), with or without adjoint chiral multiplets, in 2106.12579 and 2111.12092. We compute superconformal indices of some theories where the rank of G is low, performing a refined test for unitarity, and further determine the relevant and marginal operator content in detail. We find that most of these theories flow to interacting superconformal field theories with a = c in the infrared.