Gauge independent kinematic algebra of self-dual Yang-Mills theory

Bonezzi, Roberto; Díaz-Jaramillo, Felipe; Nagy, Silvia

Abstract

The double-copy program relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of gauge-invariant and off shell self-dual Yang-Mills theory, up to trilinear maps. This structure is a homotopy algebra of the same type as the ones recently uncovered in Chern-Simons and full Yang-Mills theories. To make contact with known results for the self-dual sector, we show that it reduces to the algebra found by Monteiro and O’Connell upon taking the light cone gauge and partially solving the self-duality constraints. Finally, we test a double-copy prescription recently proposed in Bonezzi et al. [Gauge invariant double copy of Yang-Mills theory: The quartic theory, Phys. Rev. D 107, 126015 (2023)] and reproduce self-dual gravity.

Citation

Bonezzi, R., Díaz-Jaramillo, F., & Nagy, S. (2023). Gauge independent kinematic algebra of self-dual Yang-Mills theory. Physical Review D, 108, Article 065007

• Journal Article Type: Article
• Acceptance Date: Aug 29, 2023
• Online Publication Date: Sep 13, 2023
• Publication Date: Sep 13, 2023
• Deposit Date: Feb 5, 2024
• Publicly Available Date: Feb 5, 2024
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 108
• Article Number: 065007
• Public URL: https://durham-repository.worktribe.com/output/2226788