Categorical Fermionic Actions and Minimal Modular Extensions

We define fermionic actions of finite super-groups on fermionic fusion categories and establish necessary and sufficient conditions for their existence. Our main result characterizes when a braided fusion category admits a minimal non-degenerate extension in terms of cohomological obstructions. This...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2025
Hauptverfasser: Galindo, César, Venegas-Ramírez, César F.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2025
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/214199
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Categorical Fermionic Actions and Minimal Modular Extensions. César Galindo and César F. Venegas-Ramírez. SIGMA 21 (2025), 085, 35 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine