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

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.

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Bibliographic Details
Published inSymmetry, integrability and geometry, methods and applications
Main Author Décoppet, Thibault Didier
Format Journal Article
LanguageEnglish
Published 17.10.2024
Online AccessGet full text
ISSN1815-0659
1815-0659
DOI10.3842/SIGMA.2024.092

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Summary: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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2024.092