Abstract
We give a new way to derive branching rules for the conformal embedding
In addition, we show that the category \({\mathcal{C}(\hat{\mathfrak{sl}}_n)_m^0}\) of degree zero integrable highest weight \({(\hat{\mathfrak{sl}}_n)_m}\) -representations is braided equivalent to \({\mathcal{C}(\hat{\mathfrak{sl}}_m)_n^0}\) with the reversed braiding.
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Communicated by Y. Kawahigashi
Dedicated to Igor Frenkel on the occasion of his 60th birthday
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Ostrik, V., Sun, M. Level-Rank Duality via Tensor Categories. Commun. Math. Phys. 326, 49–61 (2014). https://doi.org/10.1007/s00220-013-1869-9
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DOI: https://doi.org/10.1007/s00220-013-1869-9