Symplectic level-rank duality via tensor categories Institutional Repository Document uri icon


  • 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.

altmetric score

  • 0.75

author list (cited authors)

  • Ostrik, V., Rowell, E. C., & Sun, M.

citation count

  • 0

complete list of authors

  • Ostrik, Victor||Rowell, Eric C||Sun, Michael

Book Title

  • arXiv

publication date

  • February 2020