论文标题

包裹的M5-branes的SCFT中的离散和更高形式的对称性

Discrete and higher-form symmetries in SCFTs from wrapped M5-branes

论文作者

Bah, Ibrahima, Bonetti, Federico, Minasian, Ruben

论文摘要

我们分析了BF类型的拓扑质量术语,这些质量是$ ads_5 $的超对称M理论压缩。这些描述了大块中自发折断的高格式对称性。 BF项的边界条件的不同选择产生了双场理论,具有不同的全局离散对称性。我们详细讨论了这些对称性及其对4D $ \ MATHCAL n = 1 $ scfts的Hooft异常,这是由M5-BRANES引起的,该M5烧伤包裹在没有穿刺的Riemann表面上,包括M5-Branes的理论,以$ \ MATHBB Z_2 $ ORBIFOLD SINGULATITY。通过流入计算异常多项式,并包含用于离散全局0-,1-和2形式对称性以及连续0形式对称性以及轴承背景字段的背景字段。后者在耦合常数空间中的异常情况下正确解释。

We analyze topological mass terms of BF type arising in supersymmetric M-theory compactifications to $AdS_5$. These describe spontaneously broken higher-form gauge symmetries in the bulk. Different choices of boundary conditions for the BF terms yield dual field theories with distinct global discrete symmetries. We discuss in detail these symmetries and their 't Hooft anomalies for 4d $\mathcal N = 1$ SCFTs arising from M5-branes wrapped on a Riemann surface without punctures, including theories from M5-branes at a $\mathbb Z_2$ orbifold singularity. The anomaly polynomial is computed via inflow and contains background fields for discrete global 0-, 1-, and 2-form symmetries and continuous 0-form symmetries, as well as axionic background fields. The latter are properly interpreted in the context of anomalies in the space of coupling constants.

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