All plus four point (A)dS graviton function using generalized on-shell recursion relation

Date

2023-05-01

Author

Albayrak, Soner
Kharel, Savan

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This paper presents a calculation of the four gravitons amplitude in (Anti)-de Sitter space, focusing specifically on external gravitons with positive helicity. To achieve this, we employ a generalized recursion method that involves complexifying all external momentum of the graviton function, which results in the factorization of AdS graviton amplitudes and eliminates the need for Feynman-Witten diagrams. Our calculations were conducted in three boundary dimensions, with a particular emphasis on exploring cosmology and aiding the cosmological bootstrap program. To compute the expression, we utilized the three-dimensional spinor helicity formalism. The final expression was obtained by summing over residues of physical poles, and we present both symbolic and numerical results. Additionally, we discuss the advantages and limitations of this approach, and highlight potential opportunities for future research.

Subject Keywords

AdS-CFT Correspondence, Scattering Amplitudes

URI

https://hdl.handle.net/11511/107698

Collections

Department of Physics, Article