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

Roberto Bonezzi*, Christoph Chiaffrino†, Olaf Hohm‡, and Maria Foteini Kallimani§

  • *Contact author: roberto.bonezzi@physik.hu-berlin.de
  • †Contact author: chiaffrc@hu-berlin.de
  • ‡Contact author: ohohm@physik.hu-berlin.de
  • §Contact author: kallimari@physik.hu-berlin.de
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Phys. Rev. D 112, 105006 – Published 7 November, 2025

DOI: https://doi.org/10.1103/dn6l-2t1j

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.

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Phys. Rev. D 112, 105006– Published 7 November, 2025
  • Received 10 October 2025
  • Accepted 20 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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