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arXiv · 2002.07744

Symplectic level-rank duality via tensor categories

Victor Ostrik·Eric C. Rowell·Michael Sun
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Abstract

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.

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Victor Ostrik, Eric C. Rowell, Michael Sun. 2020-02-18. Symplectic level-rank duality via tensor categories. https://arxiv.org/abs/2002.07744

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