2 problems

Let $k$ and $\ell$ be nonnegative integers, let $\lambda$ be a partition, and let $m_\lambda(k,\ell)$ denote the multiplicity associated with the hook Schur decomposition for the s…

Gaiotto's conjecture. The number $I(W)$ is strictly positive for all $W$, or equivalently, nonzero for all $W$. This is the $N=0$ case of part (ii) of the preceding conjecture, so…