  We consider the one-loop two-point function for multi-trace operators in the
U(2) sector of \cN=4 supersymmetric Yang-Mills at finite N. We derive an
expression for it in terms of U(N) and S_{n+1} group theory data, where n is
the length of the operators. The Clebsch-Gordan operators constructed in
0711.0176, which are diagonal at tree level, only mix at one loop if you can
reach the same (n+1)-box Young diagram by adding a single box to each of the
n-box Young diagrams of their U(N) representations (which organise their
multi-trace structure). Similar results are expected for higher loops and for
other sectors of the global symmetry group.
