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Amplitude Bootstrap in (Anti) de Sitter Space And The Four-Point Graviton from Double Copy
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We propose studying a new representation of on-shell Anti de Sitter (AdS) amplitude in Mellin Momentum space, where it encodes all the dynamical information in Cosmological Correlators. At tree level, we demonstrate that this amplitude has a similar analytic structure as the S-matrix, with residues of poles made up of on-shell lower-point amplitudes. We use this structure to bootstrap 4-point scalar amplitudes with spin-1 and spin-2 exchange. In the second part of the paper, we use double copy to construct the 4-point graviton amplitude in general dimension. This leads us to a novel, concise formula that exhibits the flat space structure. We also verified this formula for the case when d=3 with literature.
Forward citations
Cited by 2 Pith papers
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From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space
Tree-level Yang-Mills de Sitter wavefunctions through six points are reconstructed from cosmological cuts into cut-detectable gluings plus a current-conservation completion, matching Feynman rules and suggesting an al...
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Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory
Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.
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