The condensed fiber product and zesting
Abstract
We introduce the condensed fiber product of two $G$-crossed braided fusion categories, generalizing existing constructions in the literature. We show that this product is closely related to the cohomological construction known as zesting, and provides a physical interpretation of the zesting procedure. Furthermore, the condensed fiber product defines a monoidal structure on the 2-category of $G$-crossed braided extensions of braided categories with a fixed transparent symmetric pointed subcategory, and the same holds for a certain subcategory of non-degenerate extensions.
Fields of Study & Subjects
Textile materials and evaluations
Publication details
- Journal / source
- Advances in Theoretical and Mathematical Physics
- Volume
- 30
- Issue
- 3
- Pages
- 705–727
- Publication date
- 1 January 2026
- Language
- EN