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arXiv · 2005.05544

Braided zesting and its applications

Colleen Delaney·César Galindo·Julia Plavnik·Eric C. Rowell·Qing Zhang
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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.

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Colleen Delaney, César Galindo, Julia Plavnik, Eric C. Rowell, Qing Zhang. 2020-05-12. Braided zesting and its applications. https://doi.org/10.1007/s00220-021-04002-4

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