Fusion 2-categories with no line operators are grouplike

Abstract

We show that if $\mathcal{C}$ is a fusion $2$-category in which the endomorphism category of the unit object is $\mathrm{Vec}$ or $\mathrm{SVec}$, then the indecomposable objects of $\mathcal{C}$ form a finite group.

7 pages, 5 figures

References in corpus (1)

• Fusion 2-categories and a state-sum invariant for 4-manifolds

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