5 problems

Let $V$ be a vertex operator algebra and let $G$ be a group of automorphisms of finite order of $V$. A $G$-simple current is an irreducible weak $g$-twisted $V$-module whose tensor…

Let $B_{\boldsymbol\mu}^{(g)}$ be the genus-$g$ space of chiral blocks with labels $\boldsymbol\mu=(\mu_1,\ldots,\mu_m)$, let $I$ index the relevant primary labels, and let…

Consider the Bershadsky–Polyakov minimal model at the parameters under discussion, with vacuum module $\mathcal{H}\set[\big]{\begin{smallmatrix}2&0&0\\1&-1&0\end{smallmatrix}}$. Th…

Let $\mathsf{C}$ be the order-$3$ simple current extension of the Bershadsky–Polyakov algebra $\mathsf{BP}\brac{5,3}$ generated by the simple currents $\mathcal{H}_{2/3,1}$ and…

Let $\mathcal A_k$ be a VOA with one-dimensional associated variety, containing a Heisenberg sub-VOA $\mathcal H$ and a simple current $J$ of infinite order. Consider the extension…