Matching higher symmetries across Intriligator-Seiberg duality

Abstract

Abstract We study higher symmetries and anomalies of 4d so $$ \mathfrak{so} $$ (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 N $$ \mathcal{N} $$ = 1 supersymmetric cases as well, and we see that higher symmetries and anomalies match across the Intriligator-Seiberg duality between so $$ \mathfrak{so} $$ (2n c ) ↔ so $$ \mathfrak{so} $$ (2n f − 2n c + 4).

Keywords

• Anomalies in Field and String Theories
• Duality in Gauge Field Theories
• Global Symmetries