Yang-Mills kinematic algebra via homotopy transfer from a worldline operator algebra

2025/08/25 by Bonezzi, Roberto, Chiaffrino, Christoph, Hohm, Olaf +1 · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2508.17933

Abstract

The homotopy Lie or L_∞ algebra encoding Yang-Mills theory is the tensor product of a color Lie algebra with the kinematic C_∞ algebra. We derive this C_∞ 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.

Citations

• Gluon amplitudes in first quantization
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Cited by

• Homotopy transfer for massive Kaluza-Klein modes
• Double copy and the double Poisson bracket

Related

• Vertex operators for the kinematic algebra of Yang-Mills theory
• Yang-Mills theory from the worldline
• Homotopy kinematic algebras at null infinity
• A homotopy BV algebra for Yang-Mills and color-kinematics
• Tree-level Scattering Amplitudes via Homotopy Transfer