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arXiv · 2212.13195

Flat-space structure of gluon and graviton in AdS

Yue-Zhou Li
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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.

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Yue-Zhou Li. 2022-12-26. Flat-space structure of gluon and graviton in AdS. https://doi.org/10.1103/physrevd.107.125018

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