1208.5131 (Victor Ostrik et al.)

Level-rank duality via tensor categories    [PDF]

Victor Ostrik, Michael Sun

We give a new way to derive branching rules for the conformal embedding $$(\asl_n)_m\oplus(\asl_m)_n\subset(\asl_{nm})_1.$$ In addition, we show that the category $\Cc(\asl_n)_m^0$ of degree zero integrable highest weight $(\asl_n)_m$-representations is braided equivalent to $\Cc(\asl_m)_n^0$ with the reversed braiding.

View original: http://arxiv.org/abs/1208.5131