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Weak Fusion 2-Categories

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arxiv 2103.15150 v2 pith:M772RCVY submitted 2021-03-28 math.QA math.CT

Thibault D. Décoppet This is my paper · ORCID
classification math.QAmath.CT
keywords fusioncategoriesarxivassociatedbraidedcategorycertaindescribe
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We introduce a weakening of the notion of fusion 2-category given in arXiv:1812.11933. Then, we establish a number of properties of (multi)fusion 2-categories. Finally, we describe the fusion rule of the fusion 2-categories associated to certain pointed braided fusion categories.

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Cited by 1 Pith paper

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  1. On the Physics of Higher Condensation Defects

    hep-th 2025-06 conditional novelty 6.0 of 10

    Topological defects from higher gauging are shown, via explicit Lagrangian computations, to satisfy the Karoubi completeness condition of Johnson-Freyd's higher fusion categories, and this is identified with splitting...

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