5 problems

Let $N^k({\mathfrak{sl}}_2)$ be the parafermion algebra … which is identified in the source with ${\mathcal C}^{\psi}(1,1)$. Let $N^k({\mathfrak{sl}}_2)^{\mathbb{Z}_2}$ denote its…

Let $K_{0}=K(sl_{2},k)$ be the parafermion vertex operator algebra associated with $sl_{2}$ at positive integer level $k$. Let the $(k+1,k+2)$-minimal series $W$-algebra associated…

Let $k$ be an admissible negative level, and let $\mathsf{B}_{k}$ denote the extended parafermion coset vertex operator algebra. A vertex operator algebra is $C_2$-cofinite when it…

Let $k$ be a positive integer, let $M^{i,j}$ be the modules indexed by $0\leq i\leq k$ and $0\leq j\leq i$, and let $M^{0,0}$ be the parafermion vertex operator algebra, denoted by…

Let $V(k,0)$ be the universal affine vertex operator algebra for $obreakmathfrak{sl}2$ at positive integer level $k$, let $N0$ be its Heisenberg commutant, and let…