从模块数据中恢复 R 符号

arXiv - MATH - Quantum Algebra Pub Date : 2024-08-05 DOI:arxiv-2408.02748

Siu-Hung Ng, Eric C Rowell, Xiao-Gang Wen

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摘要

给定一个前模态范畴 $\mathcal{C}$，我们证明它的 $R$ 符号可以从它的 $T$ 矩、融合系数和一些第二广义弗罗贝尼斯-舒尔指标中得到。特别是，如果$\mathcal{C}$是模态的，那么它在某种轨距选择下的$R$符号就完全由它的模数据决定了。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Recovering R-symbols from modular data

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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arXiv - MATH - Quantum Algebra

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