4 problems

Let $q$ and $t$ be indeterminates, let $M(h)$ be the Verma module of the deformed Virasoro algebra, and let $w$ be its Whittaker vector. Denote by $\langle w,w\rangle$ its norm wit…

Let $S_+$ be the subset of positive modes in the twisted mode expansion … Set $S'=\{\widetilde{\mathsf{W}}^{r+1}_{1/2}\}\in S_+$. Type C extraneous-mode conjecture. The subset $S'$…

Let $r$ be a positive integer, let $\epsilon(i)$ denote the twist shift for the strong generators, and define the positive modes … Set $S'=\{\mathsf{W}^{2r-1}_{1/2}\}\subset S_+$.…

Let $\boldsymbol{\alpha}=(\alpha_1,\ldots,\alpha_m)$ and $\boldsymbol{\beta}=(\beta_1,\ldots,\beta_m)$ be parameter tuples, and let $\left|G;\Lambda,\boldsymbol{\alpha}\right>$ and…