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arXiv · 2108.05369

Matching higher symmetries across Intriligator-Seiberg duality

Yasunori Lee·Kantaro Ohmori·Yuji Tachikawa
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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 $\mathfrak{so}(2n_c)\leftrightarrow\mathfrak{so}(2n_f-2n_c+4)$.

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Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa. 2021-08-11. Matching higher symmetries across Intriligator-Seiberg duality. https://doi.org/10.1007/jhep10(2021)114

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