Journal of Lie Theory

no. 4
Symplectic Level-Rank Duality via Tensor Categories
Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 909-924
We give two proofs of a level-rank duality for braided fusion categories obtained from quantum groups of type C at roots of unity. The first proof uses conformal embeddings, while the second uses a classification of braided fusion categories associated with quantum groups of type C at roots of unity. In addition we give a similar result for non-unitary braided fusion categories quantum groups of types B and C at odd roots of unity.
DOI: 10.5802/jolt.1143
Classification: 18D10,17B67
Keywords: Braided fusion category, affine Lie algebra, level-rank duality 
@article{JOLT_2020_30_4_a0,
     author = {V. Ostrik and E. C. Rowell and M. Sun},
     title = {Symplectic {Level-Rank} {Duality} via {Tensor} {Categories}},
     journal = {Journal of Lie Theory},
     pages = {909--924},
     year = {2020},
     volume = {30},
     number = {4},
     doi = {10.5802/jolt.1143},
     zbl = {1460.18019},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1143/}
}
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V. Ostrik; E. C. Rowell; M. Sun. Symplectic Level-Rank Duality via Tensor Categories. Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 909-924. doi: 10.5802/jolt.1143

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