  In a recent paper we showed that the correlators of free scalar field theory
in four dimensions can be constructed from a two dimensional topological field
theory based on so(4,2) equivariant maps (intertwiners). The free field result,
along with results of Frenkel and Libine on equivariance properties of Feynman
integrals, are developed further in this paper. We show that the coefficient of
the log term in the 1-loop 4-point conformal integral is a projector in the
tensor product of so(4,2) representations. We also show that the 1-loop 4-point
integral can be written as a sum of four terms, each associated with the
quantum equation of motion for one of the four external legs. The quantum
equation of motion is shown to be related to equivariant maps involving
indecomposable representations of so(4,2), a phenomenon which illuminates
multiplet recombination. The harmonic expansion method for Feynman integrals is
a powerful tool for arriving at these results. The generalization to other
interactions and higher loops is discussed.
