Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912181612707840 |
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| author | Sheckler, Aiden |
| author_facet | Sheckler, Aiden |
| contents | We investigate the anomalies of 6d $\mathcal{N} = (2, 0)$ superconformal field theories for any ADE gauge group using the modern characterization of anomalies by cobordism. We propose that, in order to account for all features of the anomaly, a bordism theory with exotic tangential structure is needed. We then attempt to match the anomaly in the IR effective theory on the tensor branch with a suitable WZW term. Once again, we show that the exotic bordism structure is necessary to achieve this. Our results suggest a natural explanation for the origin of the Hopf-Wess-Zumino term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04785 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism Sheckler, Aiden High Energy Physics - Theory We investigate the anomalies of 6d $\mathcal{N} = (2, 0)$ superconformal field theories for any ADE gauge group using the modern characterization of anomalies by cobordism. We propose that, in order to account for all features of the anomaly, a bordism theory with exotic tangential structure is needed. We then attempt to match the anomaly in the IR effective theory on the tensor branch with a suitable WZW term. Once again, we show that the exotic bordism structure is necessary to achieve this. Our results suggest a natural explanation for the origin of the Hopf-Wess-Zumino term. |
| title | Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.04785 |