A Type of Unifying Relation in (A)dS Spacetime

TL;DR

This paper explores unifying relations of amplitudes in (A)dS spacetime using Berends-Giele currents, providing a new proof method and discussing cosmological applications.

Contribution

It introduces a novel type of unifying relations in (A)dS spacetime and a semi-on-shell proof approach by taking the flat limit.

Findings

Established unifying relations in (A)dS using Berends-Giele currents

Provided a semi-on-shell proof method via flat limit

Discussed potential applications in cosmology

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.