Braided zesting and its applications
arXiv:2005.05544 · doi:10.1007/s00220-021-04002-4
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.
V1: 54 pages. V2 (Final version): Published in Communications in Mathematical Physics. This version includes a new Section 7 and several corrected misprints