Combinatorics

Physics

Gauge anomaly

Mathematics

Mathematical physics

Particle physics

Gauge theory

Geometry

Parity (physics)

Duality (order theory)

Theoretical physics

Fermion

Seiberg duality

Homogeneous space

Supersymmetric gauge theory

Journal of High Energy Physics

We study higher symmetries and anomalies of 4d $\mathfrak{so}(2n_c)$ gauge theory with $2n_f$ flavors. We find that they depend on the parity of $n_c$ and $n_f$, 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 $\mathfrak{so}(2n_c)\leftrightarrow\mathfrak{so}(2n_f-2n_c+4)$.

Matching higher symmetries across Intriligator-Seiberg duality