Anomalies of QFTs from M-theory and holography
Anomalies of QFTs from M-theory and holography
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DOI：
10.1007/jhep01(2020)125
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发表时间：
2020-01-21
影响因子：
5.4
通讯作者：
Nardoni, Emily
中科院分区：
文献类型：
--
作者：
Bah, Ibrahima;Bonetti, Federico;Nardoni, Emily
我们描述了一个系统的方法来计算的t Hooft异常连续对称性的量子场论在偶数维，可以几何工程从M5膜。我们的方法是基于异常流入，并根据场论的几何定义来表征QFT的异常多项式。特别地，当QFT允许全息对偶时，解的拓扑数据足以计算对偶场论的异常，包括N中的有限项。我们研究了几个类的例子，在四维和六维，有或没有已知的M5膜探针配置。
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.