Abstract
We compute the most general embedding space two-point function in arbitrary Lorentz representations in the context of the recently introduced formalism in [1, 2]. This work provides a first explicit application of this approach and furnishes a number of checks of the formalism. We project the general embedding space two-point function to position space and find a form consistent with conformal covariance. Several concrete examples are worked out in detail. We also derive constraints on the OPE coefficient matrices appearing in the two-point function, which allow us to impose unitarity conditions on the two-point function coefficients for operators in any Lorentz representations.
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Fortin, JF., Prilepina, V. & Skiba, W. Conformal two-point correlation functions from the operator product expansion. J. High Energ. Phys. 2020, 114 (2020). https://doi.org/10.1007/JHEP04(2020)114
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DOI: https://doi.org/10.1007/JHEP04(2020)114