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arXiv 2007.15003hep-th
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来自包裹的M5-branes的SCFT中的离散和更高形式对称性

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

Ibrahima Bah, Federico Bonetti, Ruben Minasian

摘要:

我们分析了超对称M-理论紧化到$AdS_5$中产生的BF型拓扑质量项。这些描述自发破缺的高形式规范对称性的散装。BF项边界条件的不同选择产生具有不同的全局离散对称性的对偶场论。我们详细讨论了这些对称性和他们的t Hooft异常的四维$\mathcal N = 1$ SCFT所产生的M5膜包裹在黎曼曲面上没有穿刺,包括理论从M5膜在$\mathbb Z_2$ orbifold奇异。异常多项式通过流入计算,并包含离散的全球0-,1-和2-形式的对称性和连续0-形式的对称性,以及axionic背景场的背景字段。后者是正确的解释的异常的背景下,在空间的耦合常数。

英文摘要:

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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