Braided zesting and its applications

Fuente: arXiv
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Autori principali: Delaney, Colleen, Galindo, César, Plavnik, Julia, Rowell, Eric C., Zhang, Qing
Natura: Preprint
Pubblicazione: 2020
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author Delaney, Colleen
Galindo, César
Plavnik, Julia
Rowell, Eric C.
Zhang, Qing
author_facet Delaney, Colleen
Galindo, César
Plavnik, Julia
Rowell, Eric C.
Zhang, Qing
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2005_05544
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Braided zesting and its applications
Delaney, Colleen
Galindo, César
Plavnik, Julia
Rowell, Eric C.
Zhang, Qing
Quantum Algebra
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.
title Braided zesting and its applications
topic Quantum Algebra
url https://arxiv.org/abs/2005.05544