Abstract
We study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional \( \mathcal{N}=4 \) superconformal field theories. The resulting conformal bootstrap equations impose non-trivial bounds for the scaling dimension of unprotected local operators transforming in various representations of the R-symmetry group. These bounds generalize recent bounds for operators in the singlet representation, arising from consistency of the four-point function of the stress-energy tensor multiplet.
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Alday, L.F., Bissi, A. Generalized bootstrap equations for \( \mathcal{N}=4 \) SCFT. J. High Energ. Phys. 2015, 101 (2015). https://doi.org/10.1007/JHEP02(2015)101
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DOI: https://doi.org/10.1007/JHEP02(2015)101