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arXiv · 2503.21035

Homotopy kinematic algebras at null infinity

Felipe Díaz-Jaramillo·Silvia Nagy·Giorgio Pizzolo
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Abstract

We present the first formulation of a homotopy algebra adapted to a $1/r$ expansion near future null infinity ($\mathcal{I^+}$). 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 $\mathcal{I^+}$. 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 $\mathcal{I^+}$.

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Felipe Díaz-Jaramillo, Silvia Nagy, Giorgio Pizzolo. 2025-03-26. Homotopy kinematic algebras at null infinity. https://arxiv.org/abs/2503.21035

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