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Homotopy kinematic algebras at null infinity

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This formulation of homotopy algebra reveals kinematic algebras near null infinity, suggesting consistency in field behavior.

Imposing homotopy algebra relations yields consistent field fall-off behavior near null infinity.
The constructed kinematic algebras satisfy the Jacobi identity on specified slices of null infinity.
This formulation focuses on self-dual Yang-Mills theory, framed within Bondi coordinates.
Infinite families of novel kinematic algebras emerge from employing the homotopy framework.

Díaz-Jaramillo et al. (2025) studied this question.

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