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arXiv · 1712.07097

Categorical Fermionic Actions and Minimal Modular Extensions

César Galindo·César F. Venegas-Ramírez
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Abstract

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 characterization for braided fusion categories with non-Tannakian M\"uger center involves the fermionic structures and fermionic actions introduced in this work.

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BibTeXRIS

César Galindo, César F. Venegas-Ramírez. 2017-12-19. Categorical Fermionic Actions and Minimal Modular Extensions. https://doi.org/10.3842/sigma.2025.085

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