2 problems

Uniqueness conjecture. Commutativity with either $\mathsf{I}^{(3)}$ or $\mathsf{K}^{(3)}$ is sufficient to completely fix all the other operators in the integrable structure.

The affine Gaudin model has classical currents ${\cal J}^a_i$ organized by a spectral parameter $z$, while its quantum transfer matrices are Kondo line defects coupled to quantum K…