2022/08/31 by Zachary E. Dell, Dell, Zachary, Peter Huston +3
Mathematics · Medicine · #18D20 #18M30 #18M40 (Primary) #18N10 (Secondary) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.2208.14992
openalex publication_date 2022/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Braided-enriched monoidal categories were introduced in work of Morrison-Penneys, where they were characterized using braided central functors. Recent work of Kong-Yuan-Zhang-Zheng and Dell extended this characterization to an equivalence of 2-categories. Since their introduction, braided-enriched fusion categories have been used to describe certain phenomena in topologically ordered systems in theoretical condensed matter physics. While these systems are unitary, there was previously no general notion of unitarity for enriched categories in the literature. We supply the notion of unitarity for enriched categories and braided enriched monoidal categories and extend the above 2-equivalence to the unitary setting.