Matching higher symmetries across Intriligator-Seiberg duality

We study higher symmetries and anomalies of 4d $$ \mathfrak{so} $$ (2nc) gauge theory with 2nf flavors. We find that they depend on the parity of nc and nf, the global form of the gauge group, and the discrete theta angle. The contribution from the fermions plays a central role in our analysis. Furthermore, our conclusion applies to $$ \mathcal{N} $$ = 1 supersymmetric cases as well, and we see that higher symmetries and anomalies match across the Intriligator-Seiberg duality between $$ \mathfrak{so} $$ (2nc) ↔ $$ \mathfrak{so} $$ (2nf − 2nc + 4).