Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$
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...
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2025-07-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.19.1.017 |
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| author | Shota Saito, Yuji Tachikawa |
| author_facet | Shota Saito, Yuji Tachikawa |
| author_sort | Shota Saito, Yuji Tachikawa |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6e3e46a8edaa4311aefb192d896d31a1 |
| institution | DOAJ |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-6e3e46a8edaa4311aefb192d896d31a12025-08-20T02:40:30ZengSciPostSciPost Physics2542-46532025-07-0119101710.21468/SciPostPhys.19.1.017Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$Shota Saito, Yuji TachikawaWe 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.https://scipost.org/SciPostPhys.19.1.017 |
| spellingShingle | Shota Saito, Yuji Tachikawa Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$ SciPost Physics |
| title | Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$ |
| title_full | Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$ |
| title_fullStr | Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$ |
| title_full_unstemmed | Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$ |
| title_short | Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$ |
| title_sort | cancelling mod 2 anomalies by green schwarz mechanism with b mu nu |
| url | https://scipost.org/SciPostPhys.19.1.017 |
| work_keys_str_mv | AT shotasaitoyujitachikawa cancellingmod2anomaliesbygreenschwarzmechanismwithbmunu |