4 problems

Let $\ell\in\{3,4,6\}$, and let $L$ be an order-$\ell$ operator invariant under the group $\mathbb Z_\ell$ on an elliptic curve with the corresponding symmetry. Assume that its pol…

Let $P^+$ be the set of dominant weights, let $R$ be the root system, and let $\tilde{\xi}=\sum_{i=1}^{N-1}m_i\Lambda_i=\sum_{i=1}^{N}m'_i\epsilon_i\in P^+$. Let $F_{N,l}$ be a com…

Consider the two-particle elliptic Calogero–Moser model of B type, with gauge-theory parameters $epsilon_1$ and $m$, and let $a$ be the Coulomb parameter, equivalently the energy p…

Let $\ell\in\{3,4,6\}$ and consider operators $L$ with the same symmetric elliptic setup as above, but allow the indices of the rational homogeneous operators at the fixed points t…