6 problems

Let $V_P$ be a diagonal channel field and let $D_P$ be its torus structure constant. Let $\hat D_P$ denote the corresponding reference structure constant. Diagonal-field reference-…

Pole-free polynomiality conjecture. The normalized 4-point structure constant should remain polynomial when it has no pole, namely when $s\notin\mathbb{Z}$, and even when there is…

Holomorphic-term polynomiality conjecture. The holomorphic term of the normalized 4-point structure constant should also be polynomial.

Polynomial-degree conjecture. The quantity $d^{(x)}_{(r,s)}$ is a polynomial in $n$ whose coefficients are $\beta$-independent numbers, and

Let $J$ be the length of the operator, let $M$ be the number of magnons with rapidities $u_s$, and let $Y_{a,0}$ be the analytically continued excited-state Y-functions. For each b…

One-cycle product conjecture. (1) For every irreducible polynomial $f\in\mathbb F_q[t]$ of degree $d$ with constant term $-\xi a$, there exist $g,h\in G_d$ of modified types…