Work

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

Year: 2025

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

Authors: Bonezzi, Roberto, Chiaffrino, Christoph, Hohm, Olaf, Kallimani, Maria Foteini

Institution: Humboldt-Universität zu Berlin

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

Awards: G4848532840, GRK 2575: Überdenken der Quantenfeldtheorie, WeltlinienZugang zur Doppelkopie

OpenAlex ID: W7077973551

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