Existence of IR SCFT for SU(N) with two symmetrics and two conjugate antisymmetrics plus chiral matter

Prove that the four-dimensional N=1 SU(N) gauge theory with two rank-2 symmetric chiral multiplets S, two conjugate rank-2 antisymmetric multiplets \widetilde{A}, Nf fundamentals Q, and (Nf+16) anti-fundamentals \widetilde{Q} (with superpotential W=0) flows to an interacting superconformal field theory in the infrared for all integers N and Nf satisfying 0 \le Nf < N−8.

Background

This SU(N) theory features symmetric tensors and conjugate antisymmetrics with chiral matter content. The authors find a unique a-maximization solution and central charges within bounds, supporting their conjecture of an interacting IR SCFT across a specified window of Nf.

It falls in the Type II class with universal large-N behavior (a=c, sparse spectrum).