4 problems

Combinatorial-map polynomiality conjecture. Solutions in this basis should have polynomial structure constants.

Combinatorial-map basis conjecture. Each such map $M$ corresponds to a solution $Z_M$ of the crossing-symmetry equations with spectra $\mathcal{S}_M$, and these solutions form a ba…

Let $\alpha_1,\alpha_2,\alpha_3,\alpha_4$ be real external Liouville momenta, let $z\in(0,1)$ be real, and let $C_{\gamma,\mu}^{\mathrm{DOZZ}}$ denote the DOZZ structure constant.…

Let $P_1,P_2,P_3,P_4$ be external Liouville momenta, let $p$ and $q$ determine the rational central charge, and define $p_i$ by … For the family of three-point functions parametriz…