8 problems

Let $\mathsf{A}_1\brac*{u,v}$ be a non-unitary affine minimal model. Its remaining fusion rules are expected to involve reducible but indecomposable staggered modules with four com…

Let $\mathsf{M}\brac*{u,v}$ be a non-unitary $N=2$ minimal model, and let ${}^{[i]}\mathsf{P}_{p;r,s}$ denote one of the conjectural staggered modules, with…

Let $p,p'\in\mathbb{Z}_{>0}$ with $p,p'\geq 2$ and $p$ and $p'$ relatively prime. Let $\mathcal{W}_{p,p'}$ be the logarithmic vertex operator algebra, and let $\overline{V(p,p')}$…

Let $p,p'\in\mathbb{Z}_{>0}$ with $p,p'\geq 2$ and $p$ and $p'$ relatively prime. Let $\mathcal{W}_{p,p'}$ be the vertex operator algebra defined as the intersection of the kernels…

Let $\mathcal{W}_{3,2}$ be the logarithmic vertex operator algebra associated with the coprime pair $(3,2)$, and let $\overline{V(3,2)}$ and $\overline{MV(3,2)}$ be the logarithmic…

Let $p\geq 2$ and let $\mathcal{W}(p)$ denote the triplet vertex algebra. A logarithmic module means an indecomposable module on which the conformal grading operator need not act s…

Generalized twisted-character dimension conjecture. The vector space of suitably defined generalized $\sigma$-twisted characters is $3m+1$-dimensional.

Twisted Zhu-algebra dimension conjecture.