Homotopy kinematic algebras at null infinity
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909894568837120 |
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| author | Díaz-Jaramillo, Felipe Nagy, Silvia Pizzolo, Giorgio |
| author_facet | Díaz-Jaramillo, Felipe Nagy, Silvia Pizzolo, Giorgio |
| contents | 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 $\mathcal{I^+}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21035 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homotopy kinematic algebras at null infinity Díaz-Jaramillo, Felipe Nagy, Silvia Pizzolo, Giorgio High Energy Physics - Theory Mathematical Physics 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 $\mathcal{I^+}$. |
| title | Homotopy kinematic algebras at null infinity |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2503.21035 |