Existence of IR SCFT for SO(N) with one symmetric tensor and Nf vectors

Prove that the four-dimensional N=1 SO(N) gauge theory with one rank-2 traceless symmetric tensor S and Nf vector (fundamental) chiral multiplets 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 \le 2N−8.

Background

This SO(N) Type I model features a symmetric tensor and Nf vectors; although Type I typically has decouplings, the authors find a well-defined analysis here and conjecture an interacting IR SCFT over the stated window, including a conformal manifold at the upper bound.

The large-N classification focuses on universality and sparse spectra for holographic candidates.