2 problems

Let $Q$, $\beta$, $\mu$, $\mu_\partial$, $P$, $q$, $G$, $U_{\rm FZZ}$, $\eta$, and $H$ be the quantities in the annulus Liouville CFT bootstrap formula. For $\mu\;\geqslant\; 0$,…

Consider an annulus represented as a cylinder of length $\pi\tau$ and radius $1$. Set $q=e^{-2\pi\tau}$, and let $\mathcal{Z}_{\mathrm{Annulus}}$ denote the no-insertion-point part…