Recovering R-symbols from modular data
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917741387055104 |
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| author | Ng, Siu-Hung Rowell, Eric C Wen, Xiao-Gang |
| author_facet | Ng, Siu-Hung Rowell, Eric C Wen, Xiao-Gang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02748 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Recovering R-symbols from modular data Ng, Siu-Hung Rowell, Eric C Wen, Xiao-Gang Quantum Algebra Category Theory 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. |
| title | Recovering R-symbols from modular data |
| topic | Quantum Algebra Category Theory |
| url | https://arxiv.org/abs/2408.02748 |