Braided zesting and its applications
Quantum Algebra
2025-04-23 v2
Abstract
We give a rigorous development of the construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categorifications of new fusion rule algebras, modular data, and minimal modular extensions of super-modular categories. Here we provide a complete obstruction theory and parameterization approach to the construction and illustrate its utility with several examples.
Cite
@article{arxiv.2005.05544,
title = {Braided zesting and its applications},
author = {Colleen Delaney and César Galindo and Julia Plavnik and Eric C. Rowell and Qing Zhang},
journal= {arXiv preprint arXiv:2005.05544},
year = {2025}
}
Comments
V1: 54 pages. V2 (Final version): Published in Communications in Mathematical Physics. This version includes a new Section 7 and several corrected misprints