Journal
NUCLEAR PHYSICS B
Volume 931, Issue -, Pages 291-323Publisher
ELSEVIER
DOI: 10.1016/j.nuclphysb.2018.04.019
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Funding
- Ministry of Science and Technology through Center for Theoretical Sciences at National Taiwan University [104-2112-M-002-004-MY]
- Japan Society for the Promotion of Science [JP16J10488]
- Supporting Program for Interaction-based Initiative Team Studies (SPIRITS) from Kyoto University
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We construct the Mellin representation of four point conformal correlation function with external primary operators with arbitrary integer spacetime spins, and obtain a natural proposal for spinning Mellin amplitudes. By restricting to the exchange of symmetric traceless primaries, we generalize the Mellin transform for scalar case to introduce discrete Mellin variables for incorporating spin degrees of freedom. Based on the structures about spinning three and four point Witten diagrams, we also obtain a generalization of the Mack polynomial which can be regarded as a natural kinematical polynomial basis for computing spinning Mellin amplitudes using different choices of interaction vertices. (C) 2018 The Author(s). Published by Elsevier B.V.
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