3 problems

Algorithmic conjecture. The method is an algorithm for finding zero modes to any order in perturbation theory.

Let $H_N$ be the Fateev–Zamolodchikov spin-chain Hamiltonian, with twist angle $\phi$ and total third spin component $S_N^3$. The elliptic zero-mode conjecture. For odd $N=2n+1$, t…

Let $H_N(x,y)$ be the Hamiltonian on $N$ sites, with twist angle $\phi$, and let $S_N^3$ denote the total third spin component. The representative singlet conjecture. For every $N$…