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<p>We classify the non-Abelian anomaly of the Euclidean conformal group <i>SO</i>(2<i>n</i> + 1<i>,</i> 1) in 2<i>n</i> dimensions via Stora-Zumino descent from its Euler invariant polynomial in 2<i>n</i> + 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 <i>type-A Weyl anomaly</i>, 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 <i>SO</i>(5, 1) conformal anomaly.</p>

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Non-Abelian and type-A conformal anomalies from Euler descent

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月6日

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  • Gleb Aminov,
  • Csaba Csáki,
  • Ofri Telem,
  • Shimon Yankielowicz

摘要

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 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.