3 problems

Let $cmathfrak{gl}(1|1)$ be the smallest type-A Lie superalgebra, let $cmathcal V_{chbar,k}(cmathfrak{gl}(1|1))$ be its quantum vertex algebra, and set … Here $csigma^{n,0}$ denote…

Spectral-flow conjecture. For every $\lambda\in\mathrm{Pr}_{\mathbb{Z}}^k$ and $0\leq\theta\leq\bar q$, there exists $\mu\in\mathfrak{h}^*$ such that

Let $V$ and $W$ be admissible level $k$ modules of $\widehat{\mathfrak{sl}}(2)$, let $s,t\in\mathbb Z$, and let $k\in\{-1/2,-4/3\}$. Write $V^s$ for the module obtained from $V$ by…