Color-kinematics duality from an algebra of superforms
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912804076781568 |
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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 | Color-kinematics duality states that the kinematic numerators of the cubic tree-level Yang-Mills scattering amplitudes obey the same symmetry properties that the color factors obey due to the Jacobi identity. We present a novel strategy for deriving this duality, based on the differential forms on a superspace. This space of superforms carries a generalization of a Batalin-Vilkovisky (BV) algebra (BV$^{\square}$ algebra). We show that the homotopy algebra of color-stripped Yang-Mills theory is obtained as a quotient of this space in which a subspace, which is an ideal `up to homotopy', is modded out. This algebra is a subsector of a BV$_{\infty}^{\square}$ algebra. Deriving the latter would provide a first-principle proof of color-kinematics duality from field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02478 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Color-kinematics duality from an algebra of superforms Bonezzi, Roberto Chiaffrino, Christoph Hohm, Olaf Kallimani, Maria Foteini High Energy Physics - Theory Mathematical Physics Color-kinematics duality states that the kinematic numerators of the cubic tree-level Yang-Mills scattering amplitudes obey the same symmetry properties that the color factors obey due to the Jacobi identity. We present a novel strategy for deriving this duality, based on the differential forms on a superspace. This space of superforms carries a generalization of a Batalin-Vilkovisky (BV) algebra (BV$^{\square}$ algebra). We show that the homotopy algebra of color-stripped Yang-Mills theory is obtained as a quotient of this space in which a subspace, which is an ideal `up to homotopy', is modded out. This algebra is a subsector of a BV$_{\infty}^{\square}$ algebra. Deriving the latter would provide a first-principle proof of color-kinematics duality from field theory. |
| title | Color-kinematics duality from an algebra of superforms |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2601.02478 |