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arxiv: 0708.1773 · v1 · submitted 2007-08-13 · ✦ hep-th · math-ph· math.MP· math.QA

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Homotopy Lie Superalgebra in Yang-Mills Theory

Anton M. Zeitlin
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classification ✦ hep-th math-phmath.MPmath.QA
keywords equationshomotopysuperalgebrayang-millsalgebraiccorrespondingdefiningform
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The Yang-Mills equations are formulated in the form of generalized Maurer-Cartan equations, such that the corresponding algebraic operations are shown to satisfy the defining relations of homotopy Lie superalgebra.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Homotopy transfer for massive Kaluza-Klein modes

    hep-th 2025-12 unverdicted novelty 7.0

    An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.