3 problems

Property F conjecture. An anyon $X$ is braiding universal if and only if

Let $\mathcal{V}$ be a vertex operator algebra with symmetry group $G$, and let $G_0$ be the identity component of $G$. Let $\operatorname{Rep}(\mathcal{V})$ denote the representat…

Quantum-dimension criterion. The anyon $a$ is braiding universal if and only if $\dim(a)^2$ is not an integer.