Optimal energy bounds for primary vertex operators

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 optimal energy bounds. The conjecture would extend the known case-by-case results on energy bounds for primary fields and, together with strong-locality results, would help establish locality properties for chiral conformal field theories. Its resolution is not specified in the source.