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arxiv: 1410.4185 · v1 · pith:VY5Q5JSBnew · submitted 2014-10-15 · ✦ hep-th

Factorization of Mellin amplitudes

classification ✦ hep-th
keywords amplitudesmellinspaceflatoperatorsscalarscatteringspin
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We introduce Mellin amplitudes for correlation functions of $k$ scalar operators and one operator with spin in conformal field theories (CFT) in general dimension. We show that Mellin amplitudes for scalar operators have simple poles with residues that factorize in terms of lower point Mellin amplitudes, similarly to what happens for scattering amplitudes in flat space. Finally, we study the flat space limit of Anti-de Sitter (AdS) space, in the context of the AdS/CFT correspondence, and generalize a formula relating CFT Mellin amplitudes to scattering amplitudes of the bulk theory, including particles with spin.

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  1. $20'$ Five-Point Function of $\mathcal{N}=4$ SYM and Stringy Corrections

    hep-th 2025-07 unverdicted novelty 8.0

    Bootstrap on Mellin amplitudes computes the first stringy correction to the five-point 20' correlator in N=4 SYM up to one undetermined coefficient, with flat-space limit checks and byproduct four-point results.