通过分解的Anomaly解析
Anomaly resolution via decomposition
摘要：
在本文中，我们将分解应用于具有量子对称性的轨道来解决异常。简而言之，Wang-Wen-Witten、Tachikawa等人认为，反常的轨道褶皱有时可以通过扩大轨道褶皱群来解决，这样反常向更大的群的拉回是微不足道的。对于这个过程来解决异常，必须指定一组阶段在较大的orbifold，其形式是隐含在扩展建设。存在一致相位的多种选择，这产生了物理上不同的分辨率。我们应用分解，并发现扩大orbifold群的理论是等价的（不相交工会的副本）orbifold的非异常子群的原始orbifold群。实际上，分解意味着扩大orbifold群等同于缩小它。我们提供了一个一般的猜想，这样的描述，我们检查了一些例子。
英文摘要：
In this paper we apply decomposition to orbifolds with quantum symmetries to resolve anomalies. Briefly, it has been argued by e.g. Wang-Wen-Witten, Tachikawa that an anomalous orbifold can sometimes be resolved by enlarging the orbifold group so that the pullback of the anomaly to the larger group is trivial. For this procedure to resolve the anomaly, one must specify a set of phases in the larger orbifold, whose form is implicit in the extension construction. There are multiple choices of consistent phases, which give rise to physically distinct resolutions. We apply decomposition, and find that theories with enlarged orbifold groups are equivalent to (disjoint unions of copies of) orbifolds by nonanomalous subgroups of the original orbifold group. In effect, decomposition implies that enlarging the orbifold group is equivalent to making it smaller. We provide a general conjecture for such descriptions, which we check in a number of examples.
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