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arXiv · 2306.08558

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

Roberto Bonezzi·Felipe Diaz-Jaramillo·Silvia Nagy
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Abstract

The double copy programme 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 light-cone gauge and partially solving the self-duality constraints. Finally, we test a double copy prescription recently proposed in [1] and reproduce self-dual gravity.

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Roberto Bonezzi, Felipe Diaz-Jaramillo, Silvia Nagy. 2023-06-14. Gauge independent kinematic algebra of self-dual Yang-Mills theory. https://doi.org/10.1103/physrevd.108.065007

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