Self-Dual Fields on Self-Dual Backgrounds and the Double Copy
High Energy Physics - Theory
2023-11-27 v2 General Relativity and Quantum Cosmology
Abstract
We explore the double copy for self-dual gauge and gravitational fields on self-dual background spacetimes. We consider backgrounds associated to solutions of the second Plebanski equation and describe results with different gauge-fixing conditions. Finally we discuss the kinematic and -algebras and the double copy, identifying modified Poisson structures and kinematic structure constants in the presence of the self-dual background. The self-dual plane wave and Eguchi-Hanson spacetimes are studied as examples and their respective -algebras derived.
Cite
@article{arxiv.2307.11063,
title = {Self-Dual Fields on Self-Dual Backgrounds and the Double Copy},
author = {Graham R. Brown and Joshua Gowdy and Bill Spence},
journal= {arXiv preprint arXiv:2307.11063},
year = {2023}
}
Comments
23 pages, v2: references added