2 problems

Let $V$ be a simple unitary VOA, and let $Y(a,z)$ be a primary vertex operator with $a\in V\setminus V_1$. Optimal energy bounds conjecture. Every such operator $Y(a,z)$ satisfies…

Unitary VOA–conformal net correspondence conjecture. The map gives a one-to-one correspondence between simple unitary VOAs and irreducible conformal nets.