English

Fusion 2-categories with no line operators are grouplike

Quantum Algebra 2023-06-22 v1 High Energy Physics - Theory

Abstract

We show that if C\mathcal{C} is a fusion 22-category in which the endomorphism category of the unit object is Vec\rm{Vec} or SVec\rm{SVec}, then the indecomposable objects of C\mathcal{C} form a finite group.

Keywords

Cite

@article{arxiv.2010.07950,
  title  = {Fusion 2-categories with no line operators are grouplike},
  author = {Theo Johnson-Freyd and Matthew Yu},
  journal= {arXiv preprint arXiv:2010.07950},
  year   = {2023}
}

Comments

7 pages, 5 figures

R2 v1 2026-06-23T19:23:07.491Z