论文标题
测量非不可逆转缺陷：2类别的观点
Gauging Noninvertible Defects: A 2-Categorical Perspective
论文作者
论文摘要
我们将对称性的异常概念推广到使用2类中的冷凝框架制定的非可逆对称性对称性。给定一个多fusion 2类，可能具有一些其他级别的单体性，我们证明了有关通过凝结合适的代数对象获得的2类别的结构的定理。我们举例说明所产生的类别显示混合融合规则并通过协同学计算，找到进一步凝结真空理论的阻塞。
We generalize the notion of an anomaly for a symmetry to a noninvertible symmetry enacted by surface operators using the framework of condensation in 2-categories. Given a multifusion 2-category, potentially with some additional levels of monoidality, we prove theorems about the structure of the 2-category obtained by condensing a suitable algebra object. We give examples where the resulting category displays grouplike fusion rules and through a cohomology computation, find the obstruction to condensing further to the vacuum theory.
