4 problems

Let $D_{(r,s)}$ be the structure constants in the conformal-block decomposition of a torus one-point function, with contractible loop weight $n$, channel loop weight $w$, and exter…

Let $V$ be a non-diagonal field in the critical loop model, and let $\langle V\rangle$ denote its torus one-point function. Vanishing conjecture for non-diagonal fields. The one-po…

Consider a torus correlation function depending on the loop weight $w(P)$ associated with a diagonal channel field $V_P$. Holomorphicity conjecture. The correlation function is hol…

Let $M$ be a one-point map on the torus, and let $Z_M$ denote its corresponding one-point function. Let $M'$ be a four-point map on the sphere, and let $Z^*_{M'}$ denote the associ…