Convolutional double copy in (anti) de Sitter space

Liang, Qiuyue; Nagy, Silvia

Abstract

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.

Citation

Liang, Q., & Nagy, S. (2024). Convolutional double copy in (anti) de Sitter space. Journal of High Energy Physics, 2024(4), Article 139. https://doi.org/10.1007/jhep04%282024%29139

• Journal Article Type: Article
• Acceptance Date: Mar 25, 2024
• Online Publication Date: Apr 26, 2024
• Publication Date: Apr 26, 2024
• Deposit Date: May 13, 2024
• Publicly Available Date: May 13, 2024
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2024
• Issue: 4
• Article Number: 139
• DOI: https://doi.org/10.1007/jhep04%282024%29139
• Keywords: Gauge Symmetry, Scattering Amplitudes, de Sitter space, BRST Quantization
• Public URL: https://durham-repository.worktribe.com/output/2433258