6 problems

Let $m\geq 3$, and let $SC_m\rightarrow SL(V)$ be a representation satisfying the condition in. Write $d_V$ for the height (Dynkin index) of $V$, and let $N_{d_V}^{+}$ and…

Let $\widehat{\mathscr{W}}_{3,2}$ denote the category of modules for the $\mathfrak{sl}_3$ minimal model $\mathsf{A}_2(3,2)$, and let its Grothendieck fusion multiplicities be the…

Let $(C,\mathbf{p})$ be a smooth genus $g$ curve with $n$ marked points, let $\Gamma$ act on the simple Lie algebra $\mathfrak{g}$, and fix a level $\ell\in\mathbb Z_{\geq1}$. Let…

Rank-three Verlinde–Segre prediction. Setting

Let $\textbf{P}$ be the category of modules over the vertex operator superalgebra $\mathsf{B}_{0\vert 1} \brac{2,4}$. The Grothendieck fusion product is intended to define a ring s…

Let $k$ be an admissible level with $v>1$. For typical modules labelled by $(\ell,\lambda;\Delta_{r,s})$, define the continuum Verlinde coefficients by … The corresponding formulae…