Matching higher symmetries across Intriligator-Seiberg duality

Kavli Affiliate: Yuji Tachikawa

| First 5 Authors: Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa, ,

| Summary:

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

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