Yang-Mills kinematic algebra via homotopy transfer from a worldline operator algebra
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912553089630208 |
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| author | Bonezzi, Roberto Chiaffrino, Christoph Hohm, Olaf Kallimani, Maria Foteini |
| author_facet | Bonezzi, Roberto Chiaffrino, Christoph Hohm, Olaf Kallimani, Maria Foteini |
| contents | The homotopy Lie or $L_{\infty}$ algebra encoding Yang-Mills theory is the tensor product of a color Lie algebra with the kinematic $C_{\infty}$ algebra. We derive this $C_{\infty}$ algebra, via homotopy transfer, from a strict operator algebra of a worldline theory, realized as an associative star product algebra. This gives a homotopy transfer interpretation to worldline vertex operators introduced in previous work. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_17933 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Yang-Mills kinematic algebra via homotopy transfer from a worldline operator algebra Bonezzi, Roberto Chiaffrino, Christoph Hohm, Olaf Kallimani, Maria Foteini High Energy Physics - Theory The homotopy Lie or $L_{\infty}$ algebra encoding Yang-Mills theory is the tensor product of a color Lie algebra with the kinematic $C_{\infty}$ algebra. We derive this $C_{\infty}$ algebra, via homotopy transfer, from a strict operator algebra of a worldline theory, realized as an associative star product algebra. This gives a homotopy transfer interpretation to worldline vertex operators introduced in previous work. |
| title | Yang-Mills kinematic algebra via homotopy transfer from a worldline operator algebra |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.17933 |