论文标题

编织的Zesting及其应用

Braided zesting and its applications

论文作者

Delaney, Colleen, Galindo, César, Plavnik, Julia, Rowell, Eric C., Zhang, Qing

论文摘要

我们从特定类别的Zesting构建新的编织融合类别的构建进行了严格的发展。过去,该方法已用于提供新的融合规则代数,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,我们为构建提供了完整的阻塞理论和参数化方法,并通过几个示例说明了其实用性。

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.

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