Non-Abelian and Type-A Conformal Anomalies from Euler Descent
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914507293458432 |
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| author | Aminov, Gleb Csáki, Csaba Telem, Ofri Yankielowicz, Shimon |
| author_facet | Aminov, Gleb Csáki, Csaba Telem, Ofri Yankielowicz, Shimon |
| contents | We classify the non-Abelian anomaly of the Euclidean conformal group $SO(2n+1,1)$ in $2n$ dimensions via Stora-Zumino descent from its Euler invariant polynomial in $2n+2$ dimensions. In this way, we place the conformal anomaly on the same footing as ordinary perturbative 't Hooft anomalies. We also explore the relation of the non-Abelian anomaly to the known \textit{type-A Weyl anomaly}, which involves projecting into a Weyl cocycle. We discuss implications for anomaly inflow, and 't Hooft anomaly matching for the full conformal group with a Wess-Zumino-Witten term. In 4d, this enables the construction of a dilaton effective action matching the full non-Abelian $SO(5,1)$ conformal anomaly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18892 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-Abelian and Type-A Conformal Anomalies from Euler Descent Aminov, Gleb Csáki, Csaba Telem, Ofri Yankielowicz, Shimon High Energy Physics - Theory High Energy Physics - Phenomenology We classify the non-Abelian anomaly of the Euclidean conformal group $SO(2n+1,1)$ in $2n$ dimensions via Stora-Zumino descent from its Euler invariant polynomial in $2n+2$ dimensions. In this way, we place the conformal anomaly on the same footing as ordinary perturbative 't Hooft anomalies. We also explore the relation of the non-Abelian anomaly to the known \textit{type-A Weyl anomaly}, which involves projecting into a Weyl cocycle. We discuss implications for anomaly inflow, and 't Hooft anomaly matching for the full conformal group with a Wess-Zumino-Witten term. In 4d, this enables the construction of a dilaton effective action matching the full non-Abelian $SO(5,1)$ conformal anomaly. |
| title | Non-Abelian and Type-A Conformal Anomalies from Euler Descent |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2601.18892 |