Operator spectroscopy for 4D SCFTs with a=c

Abstract

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. © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.