Braided Zesting and Its Applications
| Autor: | Colleen Delaney, César Galindo, Eric C. Rowell, Qing Zhang, Julia Yael Plavnik |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
business.industry
Computer science 010102 general mathematics Complex system Statistical and Nonlinear Physics Modular design 01 natural sciences Algebra Development (topology) Mathematics::Category Theory Complete obstruction Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics Quantum Algebra (math.QA) 010307 mathematical physics 0101 mathematics business Mathematical Physics |
| Zdroj: | Communications in Mathematical Physics. 386:1-55 |
| ISSN: | 1432-0916 0010-3616 |
| Popis: | 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. 54 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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