Faddeev-Zamolodchikov associativity constraint

Starting with three ordered rapidities, the adjacent-exchange sequences $121$ and $212$ must give identical coefficients for every final species word in the Faddeev-Zamolodchikov algebra. The exchange parameters are $\theta$, $\theta +{\theta }^{\prime }$ and ${\theta }^{\prime }$ because rapidity differences add. These coefficient identities express the spectral Yang-Baxter equation. One scalar identity is necessary but generally does not exhaust all the constraints.