3 problems

Chim–Zamolodchikov conjecture. The S-matrix elements with $\lambda$ in the range $[3/2,3]$ should correspond to the scaling tricritical models.

Lorentz-noninvariant phase-shift conjecture. The rapidity-dependent $S$ matrices should satisfy

Let $S(\theta)$ be the two-particle $S$ matrix of a massive local integrable model, and let $T_k$ be the conserved currents with constants … For couplings $\lambda_{2k-1}$, conside…