Flat-space structure of gluon and graviton in AdS

Abstract

We report the differential representation of three-point and four-point amplitudes for Yang-Mills fields and Einstein gravity in AdS at tree-level. The amplitudes exhibit the flat-space structures by using the weight-shifting operators with reordering, which makes the differential double copy relation at the three-point level straightforward. For four-point Yang-Mills amplitudes, we establish the differential BCJ relation, which can be useful for proving the differential doubly copy at the four-point level in the future.

13 pages; typo fixed; grammarly errors fixed including abstract; new appendices and discussions added; new refs added; proposal modified

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Cited by in corpus (3)

• Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents
• Flat limit of AdS/CFT from AdS geodesics: scattering amplitudes and antipodal matching of Liénard-Wiechert fields
• Notes on weight-shifting operators and unifying relations for cosmological correlators