Self-Dual Fields on Self-Dual Backgrounds and the Double Copy

Graham R. Brown; Joshua Gowdy; Bill Spence

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arXiv · 2307.11063

Self-Dual Fields on Self-Dual Backgrounds and the Double Copy

Graham R. Brown·Joshua Gowdy·Bill Spence

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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 $w$-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 $w$-algebras derived.

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Graham R. Brown, Joshua Gowdy, Bill Spence. 2023-07-20. Self-Dual Fields on Self-Dual Backgrounds and the Double Copy. https://arxiv.org/abs/2307.11063

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