Existence of IR SCFT for SO(N) with two antisymmetric tensors and Nf vectors

Prove that the four-dimensional N=1 SO(N) gauge theory with two rank-2 antisymmetric tensors A 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 < N−2.

Background

This SO(N) Type II theory features antisymmetric tensors. The authors’ a-maximization analysis shows good behavior and unitary central charges throughout the window, supporting the conjecture of an interacting IR SCFT.

Type II universality includes a=c at large N and sparse operator spectra.

References

We therefore conjecture that this theory flows to an interacting SCFT for $0\leq N_f < N-2$.

— Large N Universality of 4d N=1 SCFTs with Simple Gauge Groups (2510.19136 - Cho et al., 21 Oct 2025) in Section 5.5 (2 A + Nf Q), Conformal window