Abstract Crossing symmetry provides a powerful tool to access the non-perturbative dynamics of conformal and superconformal field theories.Here we develop the mathematical formalism that SHOWER CADDY allows to construct the crossing equations for arbitrary four-point functions in theories with superconformal symmetry of type I, including all superconformal field the- ories in d = 4 dimensions.Our WHEY ISOLATE VANILLA BEAN advance relies on a supergroup theoretic construction of tensor structures that generalizes an approach which was put forward in [1] for bosonic theories.
When combined with our recent construction of the relevant superblocks, we are able to derive the crossing symmetry constraint in particular for four-point functions of arbitrary long multiplets in all 4-dimensional superconformal field theories.