Flat-space structure of gluon and graviton in AdS
arXiv:2212.13195 · doi:10.1103/PhysRevD.107.125018
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.
arXiv comment13 pages; typo fixed; grammarly errors fixed including abstract; new appendices and discussions added; new refs added; proposal modified
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