N=4 super-Yang-Mills in LHC superspace. Part I: Classical and quantum theory

Understand

We present a formulation of the maximally supersymmetric N=4 gauge theory in Lorentz harmonic chiral (LHC) superspace.

• It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic variables.
• They parametrize a two-sphere and allow us to handle efficiently infinite towers of higher-spin auxiliary fields defined on ordinary space-time.
• In this approach the chiral half of N=4 supersymmetry is manifest.