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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2025 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2025
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/214199 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Categorical Fermionic Actions and Minimal Modular Extensions. César Galindo and César F. Venegas-Ramírez. SIGMA 21 (2025), 085, 35 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 of braided fusion categories with non-Tannakian Müger center involves the fermionic structures and fermionic actions introduced in this work.
|
|---|---|
| ISSN: | 1815-0659 |