We give a rigorous development of the construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categorifications of new fusion rule algebras, modular data, and minimal modular extensions of super-modular categories. Here we provide a complete obstruction theory and parameterization approach to the construction and illustrate its utility with several examples.

中文翻译：

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编织Zesting及其应用

我们从称为 zesting 的给定类别对新编织融合类别的构建进行了严格的开发。这种方法过去曾被用于提供新融合规则代数、模块化数据和超模块化类别的最小模块化扩展的分类。在这里，我们为构造提供了完整的障碍理论和参数化方法，并通过几个例子说明了它的效用。