Supersymmetric Yang-Mills Theory as Higher Chern-Simons Theory

Understand

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.