Kavli Affiliate: Yuji Tachikawa
| First 5 Authors: Shota Saito, Yuji Tachikawa, , ,
| Summary:
We study if and when mod-2 anomalies can be canceled by the Green-Schwarz
mechanism with the introduction of an antisymmetric tensor field $B_{munu}$.
As explicit examples, we examine $SU(2)$ and more general $Sp(n)$ gauge
theories in four and eight dimensions. We find that the mod-2 anomalies of 8d
$mathcal{N}=1$ $Sp(n)$ gauge theory can be canceled, as expected from it
having a string theory realization, while the mod-2 Witten anomaly of 4d
$SU(2)$ and $Sp(n)$ gauge theory cannot be canceled in this manner.
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