Higher \(\text{su}(N)\) tensor products (Q2766264)

The objective of the paper is to discuss higher \(\text{su}(N)\) tensor products, and provide explicit expressions for the associated multiplicities. The authors employ the idea used by them earlier to obtain the tensor-product multiplicities for three-point couplings [\textit{J. Rasmussen} and \textit{M. A. Walton}, \(\text{su}(N)\) tensor product multiplicities and virtual Berenstein-Zelevinsky triangles, math-ph/0010051] to obtain multiplicities for higher-point couplings, with the focus on four-point couplings. The authors also address the problem of determining when a higher-point coupling exists. The solution is a set of inequalities in the Dynkin labels.