Recovering R-symbols from modular data

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

Recovering R-symbols from modular data

Quantum Algebra 2024-08-07 v1 Category Theory

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

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.

Cite

@article{arxiv.2408.02748,
  title  = {Recovering R-symbols from modular data},
  author = {Siu-Hung Ng and Eric C Rowell and Xiao-Gang Wen},
  journal= {arXiv preprint arXiv:2408.02748},
  year   = {2024}
}

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9 pages latex

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