Recovering R-symbols from modular data
Siu‐Hung Ng, Eric C Rowell, Xiao-Gang Wen · arXiv (Cornell University) · 2024
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.