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

Prove that the four-dimensional N=1 SU(N) gauge theory with one adjoint \Phi, 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 \le N+2.

Background

This SU(N) theory combines an adjoint with antisymmetric tensors and fundamentals. The authors find consistently that a-maximization yields a unique solution with central charges in unitary bounds, including the upper bound case with a conformal manifold, resulting in a conjecture of an interacting IR SCFT throughout the range.

It is a Type II theory with large-N universality.