Matching higher symmetries across Intriligator-Seiberg duality

TL;DR

This paper investigates higher symmetries and anomalies in 4d SO(2n_c) gauge theories with 2n_f flavors, revealing their dependence on various parameters and confirming their matching across Intriligator-Seiberg duality, including supersymmetric cases.

Contribution

It provides a detailed analysis of higher symmetries and anomalies in SO(2n_c) gauge theories and demonstrates their matching under Intriligator-Seiberg duality, extending to supersymmetric theories.

Findings

Higher symmetries depend on parity of n_c and n_f, global form, and discrete theta angle.

Anomalies and symmetries match across dual theories, including supersymmetric cases.

Fermion contributions are crucial in the analysis.

Abstract

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 $\mathfrak{so}(2n_c)\leftrightarrow\mathfrak{so}(2n_f-2n_c+4)$.