4 problems

Consider the modified affine Toda field equations associated with simply-laced or twisted affine Lie algebras. The massive ODE/IM correspondence is the proposed correspondence betw…

Let $\hat{\mathfrak{g}}^{\vee}$ be a modified affine Toda field equation, and let $\Psi^{(a)}$ denote its subdominant solutions. The massive $\psi$-system is the set of functional…

Let $\hat{\mathfrak{g}}^{\vee}$ be an affine Toda algebra, and let $Q^{(a)}_i(\lambda,g)$ be the radial spectral determinants obtained by expanding the subdominant solutions of the…

Fateev–Zamolodchikov conjecture. The resulting theory is the affine Toda field theory associated with $\mathfrak{g}$, and it is an integrable field theory.