{"title":"Recovering R-symbols from modular data","authors":"Siu-Hung Ng, Eric C Rowell, Xiao-Gang Wen","doi":"arxiv-2408.02748","DOIUrl":null,"url":null,"abstract":"Given a premodular category $\\mathcal{C}$, we show that its $R$-symbol can be\nrecovered from its $T$-matrice, fusion coefficients and some 2nd generalized\nFrobenius-Schur indicators. In particular, if $\\mathcal{C}$ is modular, its\n$R$-symbols for a certain gauge choice are completely determined by its modular\ndata.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.02748","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Given a premodular category $\mathcal{C}$, we show that its $R$-symbol can be
recovered from its $T$-matrice, fusion coefficients and some 2nd generalized
Frobenius-Schur indicators. In particular, if $\mathcal{C}$ is modular, its
$R$-symbols for a certain gauge choice are completely determined by its modular
data.
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