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We study the structure constant of a single trace operator and twodeterminant operators in ${\cal N}=4$ super Yang-Mills theory. Holographicallysuch a quantity corresponds to the interaction vertex between a closed stringand two open strings attached to the spherical $D$-branes. Relying ondiagrammatic intuition, we conjecture that the structure constant at the finitecoupling is nicely written by the hexagon form factors. Precisely we need toprepare two hexagon twist operators and appropriately glue edges together byintegrating mirror particles contributions and by contracting boundary states.The gluing generates the worldsheet for a closed string and two open stringsattached to the $D$-branes. At the weak coupling, the asymptotic expressionsimply reduces to sum over all possible partitions not only for the edgerelated to the closed string but also for the edges representing the half ofthe open string together with reflection effects for the opposite open stringedges. We test the conjecture by directly computing various tree levelstructure constants. The result is nicely matched with our conjecture.

Structure Constants of a Single Trace Operator and Determinant Operators from Hexagon