Existence of IR SCFT for Sp(N) Type III theory with one symmetric and two antisymmetric tensors plus 2Nf fundamentals

Prove that the four-dimensional N=1 Sp(N) gauge theory with one rank-2 symmetric tensor S, two rank-2 antisymmetric tensors A, and 2Nf fundamental chiral multiplets Q (with superpotential W=0 and even number of fundamentals) flows to an interacting superconformal field theory in the infrared for all integers N and Nf satisfying 0 \le Nf \le 4.

Background

This Sp(N) Type III theory shows near-engineering R-charges at large N and a=c≈(1/2)dim G, consistent with sparse spectra. The authors’ a-maximization indicates unitary central charges and no decoupling across the window, prompting the conjecture of an interacting IR SCFT.

It fits the Type III universality class.