Decomposition of ${\widehat{{\mathfrak{sl}}_2}}_{,k}\oplus {\widehat{{\mathfrak{sl}}_2}}_{,1}$ highest weight representations for generic level $k$ and equivalence between two dimensional CFT models

Leszek Hadasz, Błażej Ruba

We construct highest weight vectors of ${\widehat{{\mathfrak{sl}}_2}}_{,k+1}\oplus \mathsf{Vir}$ in tensor products of highest weight modules of ${\widehat{{\mathfrak{sl}}_2}}_{,k}$ a…