A Type of Unifying Relation in (A)dS Spacetime

Abstract

Unifying relations of amplitudes are elegant results in flat spacetime, but the research on these in (A)dS case is not very rich. In this paper, we discuss a type of unifying relations in (A)dS by using Berends-Giele currents. By taking the flat limit, we also get a semi-on-shell way to prove the unifying relations in the flat case. We also discuss the applications of our results in cosmology.

typos fixed

References in corpus (7)

• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• Recursion Relations for AdS/CFT Correlators
• BCFW for Witten Diagrams
• On the Differential Representation and Color-Kinematics Duality of AdS Boundary Correlators
• New recursions for tree-level correlators in (Anti) de Sitter space
• Planar binary trees in scattering amplitudes
• Note on graph-based BCJ relation for Berends-Giele currents

Cited by in corpus (9)

• Multivariate hypergeometric solutions of cosmological (dS) correlators by $\text{d}\log$-form differential equations
• Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents
• Celestial Berends-Giele current
• Berends-Giele currents for extended gravity
• Notes on weight-shifting operators and unifying relations for cosmological correlators
• Surface Gauge Invariance, Soft Limits and the Transmutation of Gluons into Scalars
• The off-shell expansion relation of the Yang-Mills scalar theory
• Systematic approach to $\ell$-loop planar integrands from the classical equation of motion
• The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables