Weyl-Lewis-Papapetrou coordinates, self-dual Yang-Mills equations and the single copy

Cardoso, Gabriel Lopes; Mahapatra, Swapna; Nagy, Silvia

Abstract

We consider the dimensional reduction to two dimensions of certain gravitational theories in D ≥ 4 dimensions at the two-derivative level. It is known that the resulting field equations describe an integrable system in two dimensions which can also be obtained by a dimensional reduction of the self-dual Yang-Mills equations in four dimensions. We use this relation to construct a single copy prescription for classes of gravitational solutions in Weyl-Lewis-Papapetrou coordinates. In contrast with previous proposals, we find that the gauge group of the Yang-Mills single copy carries non-trivial information about the gravitational solution. We illustrate our single copy prescription with various examples that include the extremal Reissner-Nordstrom solution, the Kaluza-Klein rotating attractor solution, the Einstein-Rosen wave solution and the self-dual Kleinian Taub-NUT solution.

Citation

Cardoso, G. L., Mahapatra, S., & Nagy, S. (2024). Weyl-Lewis-Papapetrou coordinates, self-dual Yang-Mills equations and the single copy. Journal of High Energy Physics, 2024(10), Article 30. https://doi.org/10.1007/jhep10%282024%29030

• Journal Article Type: Article
• Acceptance Date: Sep 15, 2024
• Online Publication Date: Oct 3, 2024
• Publication Date: Oct 3, 2024
• Deposit Date: Oct 9, 2024
• Publicly Available Date: Oct 9, 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: 10
• Article Number: 30
• DOI: https://doi.org/10.1007/jhep10%282024%29030
• Keywords: Black Holes, Integrable Field Theories, Classical Theories of Gravity, Solitons Monopoles and Instantons
• Public URL: https://durham-repository.worktribe.com/output/2947681