Existence of IR SCFT for SU(N) with one symmetric and one antisymmetric pair plus Nf fundamentals

Prove that the four-dimensional N=1 SU(N) gauge theory with one rank-2 symmetric chiral multiplet S, one conjugate symmetric \widetilde{S}, one rank-2 antisymmetric A, one conjugate antisymmetric \widetilde{A}, and Nf pairs of fundamental Q and anti-fundamental \widetilde{Q} chiral multiplets (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.

Background

This SU(N) theory mixes symmetric and antisymmetric rank-2 tensors and fundamentals. The authors report that a-maximization consistently yields a unique solution with central charges within unitary bounds, prompting the conjecture of an interacting IR SCFT over the stated Nf range.

It is categorized as Type II with universal large-N properties (a=c at leading order, sparse spectrum).