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We study contact four-point amplitudes in the spinor-helicity formalism inanti-de Sitter space. We find that these amplitudes can be brought to anespecially simple form, which we call canonical. Next, we classify consistentcontact amplitudes by requiring correct transformation properties with respectto the AdS isometry algebra. Finally, we establish a connection between thecanonical form of AdS amplitudes and scalar multi-trace conformal primaries inflat space.

Spinor-Helicity Formalism for Massless Fields in AdS$_4$ III: Contact Four-Point Amplitudes