8 problems

Let $V$ be one of the vertex algebras specified by the paper's extension pairs, let $A$ be the corresponding free field algebra, and let $\mathfrak{N}$ be the Nichols algebra gener…

Let $\mathcal{V}_{\mathcal{SF}_n^{\mathrm{even}}}$ be the even part of the vertex superalgebra of $n$ pairs of symplectic fermions, and let $\mathcal{C}_0\oplus\mathcal{C}_1$ be th…

Let $\mathcal{W}^{\log}$ be the proposed logarithmic conformal field theory, and let the smaller long-screening kernel be the corresponding subalgebra. Kazhdan–Lusztig correspondenc…

Let $\mathrm{W}$ be the kernel intersection of the short and long screenings inside $\mathcal{V}_{\Lambda^{long}}$, and let $\mathcal{W}^{\log}$ be the larger subspace obtained by i…

Let $\mathscr{C}$ be the abelian category of ghost vertex operator algebra modules generated by imposing closure under extensions from the typical modules…

Grothendieck–Verlinde fusion ring isomorphism conjecture. The product on the resulting Grothendieck ring may be identified with the Verlinde product under the group isomorphism…

Let $\mathcal{W}'_{\mathfrak{q},N}$ be the associative algebra in the XXZ representation generated by $W\!B^{\alpha}_j$, with $1\leq j\leq N-2p+2$ and $\alpha\in\{0,\pm\}$, togethe…

Let $p\geq 2$, let $A(\mathcal{W}(p))$ be the Zhu algebra of the triplet vertex algebra, and let $h_{i,1}$ denote the relevant conformal weights. For each $i$, let…