We describe a systematic way of computing the ’t Hooft anomalies for continuous symmetries of Quantum Field Theories in even dimensions that can be geometrically engineered from M5-branes. Our approach is based on anomaly inflow, and characterizes the anomaly polynomial of the QFT in terms of the geometric definition of the field theory. In particular, when the QFT admits a holographic dual, the topological data of the solution is sufficient to compute the anomalies of the dual field theory, including finite terms in N . We study several classes of examples in four and six dimensions, with or without known M5-brane probe configurations.

中文翻译：

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M理论和全息术中QFT的异常

我们描述了一种计算量子场论连续对称性的 't Hooft 异常的系统方法，这些对称性可以从 M5-膜进行几何工程设计。我们的方法基于异常流入，并根据场论的几何定义来表征 QFT 的异常多项式。特别是，当 QFT 承认全息对偶时，解的拓扑数据足以计算对偶场理论的异常，包括 N 中的有限项。我们研究了四维和六维的几类例子，有或没有已知的 M5 膜探针配置。