4 problems

Rationality conjecture. The vertex operator superalgebra $V_{c_{p,q}}$ is rational. Moreover, the minimal series modules $L_{c,h_{r,s}}$, with $0<r<p$, $0<s<q$, and…

Let $\mathcal{A}$ be an irreducible graded-local conformal net, meaning a graded-local conformal net satisfying the irreducibility condition. Converse conformal-net conjecture. For…

Let $V_{fer}$ denote the free fermion vertex operator superalgebra, let $k$ be an even positive integer, and let $V_{\mathbb{Z}\alpha}$ be the rank-one lattice vertex operator supe…

Let $V$) be a vertex operator superalgebra and let $k$ be an even positive integer. Consider weak, weak admissible, ordinary, parity-stable, and parity-unstable modules for the cyc…