5 problems

Holomorphic VOA unitarity conjecture. Every holomorphic VOA is unitary.

Let $F$ be a non-archimedean local field with residue field $k$, let $\mathcal C$ be a curve over the ring of integers of $F$, and let $E_{\operatorname{Bun},1/2}$ be the Eisenstei…

Let … The source observes that both vertex algebras are positive, meaning that every irreducible module other than the algebra itself has positive conformal dimension. Unitarity co…

Let $|\lambda\rangle=E_{j_{n(w)}}^-\cdots E_{j_1}^-|\Lambda_s\rangle$ be a state in a finite-dimensional irreducible representation, and let $n_k$ and $\Lambda_i^k$ denote the coef…

Let $W$ be a unitary vertex operator algebra, let $\pi\subset\mathrm{Rep}^\times(W)$ be a subgroup of its invertible unitary modules, and suppose that the simple current extension…