Reciprocity of higher conserved charges in the $\mathfrak{sl}(2)$ sector of the $\mathcal{N}{=}4$ supersymmetric Yang–Mills theory

We extend the analysis of the generalized Gribov–Lipatov reciprocity to the higher conserved charges of the type-IIB superstring on AdS$_5\times S^5$. We show that the property holds for operators of twist $L=2$ and $L=3$ in the $\mathfrak{sl}(2)$ subsector.