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

Bill Spence; Graham R. Brown; Joshua Gowdy

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

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arxiv 2307.11063 v2 pith:HV2IMFDC submitted 2023-07-20 hep-th gr-qc

Graham R. Brown , Joshua Gowdy , Bill Spence This is my paper · ORCID

classification hep-thgr-qc

keywords self-dualcopydoublealgebrasbackgroundbackgroundsfieldskinematic

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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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