3 problems

Let $d$ be a positive exponent with $d>1$, let $\gamma$ be a Pochhammer contour, and let $\Psi^{\mathrm{on}}_{\bm c}(\bm w)$ be an on-shell Bethe state in $H_{\bm\lambda}$. Associa…

Let $E_+$ be the set of positive exponents of the underlying Lie algebra, let $\varphi(z)$ be the twist function, and let $h^\vee$ be the dual Coxeter number. The quadratic Hamilto…

Affine Gaudin eigenvector conjecture. For every exponent $i$ and every permitted contour $\boldsymbol{\beta}$,