论文标题
统一编织的单体类别
Unitary braided-enriched monoidal categories
论文作者
论文摘要
在莫里森 - 彭尼的工作中引入了富含编织的单体类别，在那里它们使用编织的中央函子进行了表征。 Kong-Yuan-Zhang-Zheng和Dell的最新工作将这种特征扩展到了2类的等效性。自引入以来，富含编织的融合类别已被用来描述理论凝结物理学中拓扑秩序的系统中的某些现象。尽管这些系统是统一的，但以前没有关于文献中丰富类别的一般单位性概念。我们为富集的类别和富含编织的单体类别提供了单位性的概念，并将上述2等效性扩展到单一环境。
Braided-enriched monoidal categories were introduced in work of Morrison-Penneys, where they were characterized using braided central functors. Recent work of Kong-Yuan-Zhang-Zheng and Dell extended this characterization to an equivalence of 2-categories. Since their introduction, braided-enriched fusion categories have been used to describe certain phenomena in topologically ordered systems in theoretical condensed matter physics. While these systems are unitary, there was previously no general notion of unitarity for enriched categories in the literature. We supply the notion of unitarity for enriched categories and braided enriched monoidal categories and extend the above 2-equivalence to the unitary setting.
