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 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 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.
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Burić, I., Schomerus, V. & Sobko, E. The superconformal equation. J. High Energ. Phys. 2020, 147 (2020). https://doi.org/10.1007/JHEP10(2020)147
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DOI: https://doi.org/10.1007/JHEP10(2020)147