Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{μν}$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912483807068160 |
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| author | Saito, Shota Tachikawa, Yuji |
| author_facet | Saito, Shota Tachikawa, Yuji |
| contents | We study if and when mod-2 anomalies can be canceled by the Green-Schwarz mechanism with the introduction of an antisymmetric tensor field $B_{μν}$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09223 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{μν}$ Saito, Shota Tachikawa, Yuji High Energy Physics - Theory We study if and when mod-2 anomalies can be canceled by the Green-Schwarz mechanism with the introduction of an antisymmetric tensor field $B_{μν}$. 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. |
| title | Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{μν}$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.09223 |