Symplectic level-rank duality via tensor categories
Quantum Algebra
2020-02-19 v1 Representation Theory
Abstract
We give two proofs of a level-rank duality for braided fusion categories obtained from quantum groups of type 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 at roots of unity. In addition we give a similar result for non-unitary braided fusion categories quantum groups of types and at odd roots of unity.
Cite
@article{arxiv.2002.07744,
title = {Symplectic level-rank duality via tensor categories},
author = {Victor Ostrik and Eric C. Rowell and Michael Sun},
journal= {arXiv preprint arXiv:2002.07744},
year = {2020}
}