A note on decoupling conditions for generic level $\widehat{sl}(3{)}_k$ and fusion rules

A. Ch. Ganchev, V. B. Petkova, G. M. T. Watts

We find the solution of the $\widehat{sl}(3{)}_k$ singular vector decoupling equations on 3-point functions for the particular case when one of the fields is of weight $w_0\cdot k{\Lambda }_0$. T…