Tensor Decomposition, Parafermions, Level-Rank Duality, and Reciprocity Law for Vertex Operator Algebras

Cuipo, Jiang, Zongzhu Lin

For the semisimple Lie algebra ${\mathfrak{sl}}_n$, the basic representation $L_{\widehat{{\mathfrak{sl}}_n}}(1,0)$ of the affine Lie algebra $\widehat{{\mathfrak{sl}}_n}$ is a lattice vertex o…