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math.CT2023★ 9 cited
Fiber 2-Functors and Tambara-Yamagami Fusion 2-Categories
Thibault D. Décoppet, Matthew Yu
We introduce group-theoretical fusion 2-categories, a strong categorification of the notion of a group-theoretical fusion 1-category. Physically speaking, such fusion 2-categories…
math.CT2022★ 44 cited
Gauging Noninvertible Defects: A 2-Categorical Perspective
Thibault D. Décoppet, Matthew Yu
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 multifus…