Type I anomaly cancellation revisited
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915533235945472 |
|---|---|
| author | Hosseini, Saghar S. Tachikawa, Yuji Zhang, Hao Y. |
| author_facet | Hosseini, Saghar S. Tachikawa, Yuji Zhang, Hao Y. |
| contents | We revisit the issue of how the perturbative and global fermion anomaly of Type I string theory in ten dimensions is cancelled by the Green-Schwarz mechanism using the RR fields. This will be done by realising the RR fields as boundary modes of an eleven-dimensional bulk theory described in terms of a quadratic refinement of the differential KO-theory pairing. We will then generalise this analysis to Sugimoto's $usp(32)$ string and Sagnotti's $u(32)$ string.
We also discuss in a more general setting the procedures which need to be followed when we try to cancel fermion anomalies in terms of $p$-form fields based on differential K-theory classes. This we illustrate by performing an analysis of the mod-2 anomaly cancellation in nine dimensions arising from the $S^1$ compactification of the Type I theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07933 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Type I anomaly cancellation revisited Hosseini, Saghar S. Tachikawa, Yuji Zhang, Hao Y. High Energy Physics - Theory We revisit the issue of how the perturbative and global fermion anomaly of Type I string theory in ten dimensions is cancelled by the Green-Schwarz mechanism using the RR fields. This will be done by realising the RR fields as boundary modes of an eleven-dimensional bulk theory described in terms of a quadratic refinement of the differential KO-theory pairing. We will then generalise this analysis to Sugimoto's $usp(32)$ string and Sagnotti's $u(32)$ string. We also discuss in a more general setting the procedures which need to be followed when we try to cancel fermion anomalies in terms of $p$-form fields based on differential K-theory classes. This we illustrate by performing an analysis of the mod-2 anomaly cancellation in nine dimensions arising from the $S^1$ compactification of the Type I theory. |
| title | Type I anomaly cancellation revisited |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.07933 |