The reduced orbifold associated-variety conjecture

Let ${\mathcal V}$ be a simple, strongly finitely generated VOA that is $\mathbb N$-graded by conformal weight, with ${\mathcal V}[0]\cong\mathbb C$. Let $G$ be a finite group of automorphisms, let $R_{\mathcal V}$ be the associated commutative algebra, and let $R_{{\mathcal V}^G}$ be the corresponding algebra for the invariant VOA. Write $A_{\mathrm{red}}$ for the quotient of a commutative algebra $A$ by its nilradical. The reduced orbifold associated-variety conjecture. The reduced rings of $R_{{\mathcal V}^G}$ and $(R_{\mathcal V})^G$ are isomorphic. The source presents this as a speculative conjecture following examples in which the reduced rings agree; its general validity remains unresolved.