What bordism-theoretic anomaly cancellation can do for U
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912495207186432 |
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| author | Debray, Arun Yu, Matthew |
| author_facet | Debray, Arun Yu, Matthew |
| contents | We perform a bordism computation to show that the $E_{7(7)}(\mathbb{R})$ U-duality symmetry of 4d $\mathcal N = 8$ supergravity could have an anomaly invisible to perturbative methods; then we show that this anomaly is trivial. We compute the relevant bordism group using the Adams and Atiyah-Hirzebruch spectral sequences, and we show the anomaly vanishes by computing $η$-invariants on the Wu manifold, which generates the bordism group. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2210_04911 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | What bordism-theoretic anomaly cancellation can do for U Debray, Arun Yu, Matthew High Energy Physics - Theory Mathematical Physics Algebraic Topology We perform a bordism computation to show that the $E_{7(7)}(\mathbb{R})$ U-duality symmetry of 4d $\mathcal N = 8$ supergravity could have an anomaly invisible to perturbative methods; then we show that this anomaly is trivial. We compute the relevant bordism group using the Adams and Atiyah-Hirzebruch spectral sequences, and we show the anomaly vanishes by computing $η$-invariants on the Wu manifold, which generates the bordism group. |
| title | What bordism-theoretic anomaly cancellation can do for U |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Topology |
| url | https://arxiv.org/abs/2210.04911 |