TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.1.017
TI  - Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$
PY  - 2025/07/16
UR  - https://scipost.org/SciPostPhys.19.1.017
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 1
SP  - 017
A1  - Saito, Shota
AU  - Tachikawa, Yuji
AB  - We study if and when mod-2 anomalies can be canceled by the Green-Schwarz mechanism with the introduction of an antisymmetric tensor field $B_{\mu\nu}$. 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.
ER  -

@Article{10.21468/SciPostPhys.19.1.017,
	title={{Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$}},
	author={Shota Saito and Yuji Tachikawa},
	journal={SciPost Phys.},
	volume={19},
	pages={017},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.1.017},
	url={https://scipost.org/10.21468/SciPostPhys.19.1.017},
}