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Conformal Field Theory and Algebraic Structure of Gauge Theory

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arxiv 0812.1840 v3 pith:ETVEM7XE submitted 2008-12-10 hep-th math-phmath.MPmath.QA

Anton M. Zeitlin This is my paper · ORCID
classification hep-thmath-phmath.MPmath.QA
keywords theoryalgebrasgaugealgebraicconformalconsiderfieldinfty
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abstract

We consider various homotopy algebras related to Yang-Mills theory and two-dimensional conformal field theory (CFT). Our main objects of study are Yang-Mills $L_{\infty}$ and $C_{\infty}$ algebras and their relation to the certain algebraic structures of Lian-Zuckerman type in CFT. We also consider several examples of algebras related to gauge theory, involving first order formulations and gauge theories with matter fields.

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    hep-th 2025-08 unverdicted novelty 6.0 of 10

    A bosonic spinning particle model with BRST-extracted vertex operators yields tree-level gluon amplitudes as worldline correlators.

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