Year: 2025
Type: article
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 Müger center involves the fermionic structures and fermionic actions introduced in this work.
Authors: Universidad de los Andes, Colombia, César Galindo, César F. Venegas-Ramírez, Universidad de los Andes, Colombia
Institution: Universidad de Los Andes
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4415122704