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Momentum space conformal three-point functions of conserved currents and a general spinning operator

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A bstractWe 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… Click to show full abstract

A bstractWe 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.

Keywords: conserved currents; point functions; momentum space; three point

Journal Title: Journal of High Energy Physics
Year Published: 2019

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