Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd)

Abstract

We study group graded extensions of fusion 2-categories. As an application, we obtain a homotopy theoretic classification of fermionic strongly fusion 2-categories. We examine various examples in detail.

Previously part of arXiv:2311.16827v1

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Cited by in corpus (2)

• Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories
• Compact Semisimple Tensor 2-Categories are Morita Connected