关于反常消解的观点
Perspectives on Anomaly Resolution
AI总结：
本文将反常消解解释为引入带混合反常的拓扑算子并与拓扑场论耦合，阐明规范后修正对称性可整体无反常且原反常对称性仍保留。
摘要：
我们详细考察了通过扩展一个理论的对称性来消解 't Hooft 反常的过程。具体而言，我们将现有反常消解方案的组成要素解释为加入带有指定混合反常的拓扑算子，这可被解释为把原始场论与一个拓扑场论耦合。我们表明，在规范之后，此类混合反常的存在会导致原始对称性的修正版本，该对称性现在作用于新引入的算子，从而允许整体无反常的作用。我们还表明，原始的、带反常的对称性仍存在于理论中。这一分析被应用于通过普通对称性和高阶形式对称性进行的反常消解扩展，产生了相关但在性质上不同的情形。
英文摘要：
We examine in detail the process of resolving 't Hooft anomalies by extending the symmetry of a theory. Specifically, we interpret the ingredients of existing prescriptions for anomaly resolution as the addition of topological operators with designated mixed anomalies, which can be interpreted as coupling our original field theory to a topological one. We show that, upon gauging, the presence of such mixed anomalies leads to a modified version of the original symmetry which now acts on the newly introduced operators, allowing for an overall anomaly-free action. We also show that the original, anomalous symmetry remains present in the theory. This analysis is applied to anomaly-resolving extensions by both ordinary and higher-form symmetries, leading to related but qualitatively distinct stories.
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