The double copy is a remarkable relationship between gauge theory and gravity that has been explored in a number of contexts, most notably scattering amplitudes and classical solutions. The convolutional double copy provides a straightforward method to bridge the two theories via a precise map for the fields and symmetries at the linearised level. This method has been thoroughly investigated in flat space, offering a comprehensive dictionary both with and without fixing the gauge degrees of freedom. In this paper, we extend this to curved space with an (anti) de Sitter background metric. We work in the temporal gauge, and employ a modified convolution that involves the Mellin transformation in the time direction. As an example, we show that the point-like charge in gauge theory double copies to the (dS-) Schwarzschild black hole solution.
Liang, Qiuyue and Nagy, Silvia. "Convolutional double copy in (anti) de Sitter space." Journal of High Energy Physics (Online), vol. 2024, no. 4, Apr. 2024. https://doi.org/10.1007/jhep04(2024)139
Liang, Qiuyue, & Nagy, Silvia (2024). Convolutional double copy in (anti) de Sitter space. Journal of High Energy Physics (Online), 2024(4). https://doi.org/10.1007/jhep04(2024)139
Liang, Qiuyue, and Nagy, Silvia, "Convolutional double copy in (anti) de Sitter space," Journal of High Energy Physics (Online) 2024, no. 4 (2024), https://doi.org/10.1007/jhep04(2024)139
@article{osti_2576018,
author = {Liang, Qiuyue and Nagy, Silvia},
title = {Convolutional double copy in (anti) de Sitter space},
annote = {The double copy is a remarkable relationship between gauge theory and gravity that has been explored in a number of contexts, most notably scattering amplitudes and classical solutions. The convolutional double copy provides a straightforward method to bridge the two theories via a precise map for the fields and symmetries at the linearised level. This method has been thoroughly investigated in flat space, offering a comprehensive dictionary both with and without fixing the gauge degrees of freedom. In this paper, we extend this to curved space with an (anti) de Sitter background metric. We work in the temporal gauge, and employ a modified convolution that involves the Mellin transformation in the time direction. As an example, we show that the point-like charge in gauge theory double copies to the (dS-) Schwarzschild black hole solution.},
doi = {10.1007/jhep04(2024)139},
url = {https://www.osti.gov/biblio/2576018},
journal = {Journal of High Energy Physics (Online)},
issn = {ISSN 1029-8479},
number = {4},
volume = {2024},
place = {United States},
publisher = {Springer Nature},
year = {2024},
month = {04}}
Proceedings of Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2017)https://doi.org/10.22323/1.318.0177