3 problems

For each positive integer $K$, let $T^{(K)}(\tau,m)$ be the unique combination of the forms $\widehat{F}^{(\{k_i\})}$ summed over all positive-integer partitions of $K$: … Let…

Mixed-charge m-string elliptic-genus conjecture. Suitable linear combinations of products of the functions $J_{k_1,\ldots,k_{N-1}}(\tau,m,\epsilon_1)$ capture the elliptic genus of…

Let $s\ge 2$ consecutive intervals between M5-branes each be occupied by a single M-string. Contractibility conjecture. Those $s$ intervals should be contractible to a single inter…