The hexagon approach provides an integrability framework for the computation of structure constants in N = 4 super Yang–Mills theory in four dimensions. In this talk, I will give an overview of the hexagon formalism and explain recent results about its application to higher-rank sectors, importing a minimum of information from the nested Bethe ansatz. Further, I will also consider correlators in the presence of marginal deformations of the theory. Finally, some future applications will be outlined.