Abstract
We construct conformal three-point functions in momentum space with a general tensor and conserved currents of spin 1 and 2. While conformal correlators in momentum space have been studied especially in the connection with cosmology, correlators involving a tensor of general spin and scaling dimension have not been studied very much yet. Such a direction is unavoidable when we go beyond three-point functions because general tensors always appear as an intermediate state. In this paper, as a first step, we solve the Ward-Takahashi identities for correlators of a general tensor and conserved currents. In particular we provide their expression in terms of the so-called triple-K integrals and a differential operator which relates triple-K integrals with different indices. For several correlators, closed forms without the differential operator are also found.
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Isono, H., Noumi, T. & Takeuchi, T. Momentum space conformal three-point functions of conserved currents and a general spinning operator. J. High Energ. Phys. 2019, 57 (2019). https://doi.org/10.1007/JHEP05(2019)057
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DOI: https://doi.org/10.1007/JHEP05(2019)057