A Finiteness Property for Braided Fusion Categories

By D. Venku Naidu, Eric C. Rowell. 2009

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We introduce a finiteness property for braided fusion categories, describe a conjecture that would characterize categories possessing this, and verify the conjecture in a number of important cases. In particular we say a category has propertyF if the associated braid group representations factor over a finite group, and suggest that categories of integral Frobenius-Perron dimension are precisely those with property F.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e269828c1feb1874620e75e54444b84da02fe938