5 problems

Let $V$ be a simple $C_2$-cofinite vertex operator algebra isomorphic to its contragredient module, with $V_0=\operatorname{\mathbb{C}}\mathbf{1}$, and let…

Let $V$ be a simple $C_2$-cofinite vertex operator algebra isomorphic to its contragredient module, with $V_0=\operatorname{\mathbb{C}}\mathbf{1}$, and let…

Let $Z(\beta_L,\beta_R)$ be the partition function of a unitary, modular-invariant two-dimensional conformal field theory with central charge $c$, satisfying the stated vacuum and…

Moore–Seiberg conjecture. For every $n\in\mathbb{N}$, the space spanned by shifted $q$-traces of products of $n$ chiral vertex operators is invariant under modular transformations.

Let $V$ be a simple vertex operator superalgebra that is rational, $\sigma$-rational, $C_2$-cofinite, and self-dual, with … Let $M_i$, for $i=1,\ldots,n$, and $W_j$, for…