Solutions to the constant Yang-Baxter equation: additive charge conservation in three dimensions

Jarmo Hietarinta, Paul Martin, Eric C. Rowell

We find all solutions to the constant Yang--Baxter equation $R_{12}{R}_{13}{R}_{23}=R_{23}{R}_{13}{R}_{12}$ in three dimensions, subject to an additive charge-conservation ansatz. This ans…