Supersymmetric Yang-Mills Theory as Higher Chern-Simons Theory

Christian Saemann, Martin Wolf

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We observe that the string field theory actions for the topological sigma models describe higher or categorified Chern-Simons theories. These theories yield dynamical equations for connective structures on higher principal bundles. As a special case, we consider holomorphic higher Chern-Simons theory on the ambitwistor space of four-dimensional space-time. In particular, we propose a higher ambitwistor space action functional for maximally supersymmetric Yang-Mills theory.
Original languageEnglish
Article number111
JournalJournal of High Energy Physics
Issue number7
Early online date24 Jul 2017
Publication statusPublished - Jul 2017


  • hep-th
  • math-ph
  • math.MP


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