Homotopy kinematic algebras at null infinity

2025/03/26 by Díaz-Jaramillo, Felipe, Nagy, Silvia, Pizzolo, Giorgio · 3 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2503.21035

Abstract

We present the first formulation of a homotopy algebra adapted to a 1/r expansion near future null infinity (I⁺). Focusing on self-dual Yang-Mills theory in Bondi coordinates, we demonstrate that imposing the homotopy algebra relations naturally yields the physically consistent fall-off behavior of the fields near I⁺. Furthermore, we employ this framework to systematically construct kinematic algebras, uncovering novel infinite families of such algebras that satisfy the Jacobi identity on slices near I⁺.

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