We present a detailed account of the properties of twisters and their generalizations, FC sets, which are essential ingredients of the orbifold deconstruction procedure aimed at recognizing whether a given conformal model may be obtained as an orbifold of another one, and if so, to identify the twist group and the original model. The close analogy with the character theory of finite groups is discussed, and its origin explained.

中文翻译：

---

FC Sets and Twisters：Orbifold 解构的基础

我们详细介绍了扭曲器的特性及其泛化，FC 集，它们是轨道解构过程的基本要素，旨在识别给定的共形模型是否可以作为另一个模型的轨道获得，如果是，则识别扭曲组和原始模型。讨论了与有限群特征论的相似性，并解释了它的起源。