Flat-space structure of gluon and graviton in AdS
High Energy Physics - Theory
2023-06-28 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.2212.13195,
title = {Flat-space structure of gluon and graviton in AdS},
author = {Yue-Zhou Li},
journal= {arXiv preprint arXiv:2212.13195},
year = {2023}
}
Comments
13 pages; typo fixed; grammarly errors fixed including abstract; new appendices and discussions added; new refs added; proposal modified