New bi-harmonic superspace formulation of 4D, N=4 SYM theory

We develop a novel bi-harmonic N = 4 superspace formulation of the N = 4 supersymmetric Yang-Mills theory (SYM) in four dimensions. In this approach, the N = 4 SYM superfield constraints are solved in terms of on-shell N = 2 harmonic superfields. Such an approach provides a convenient tool of constructing the manifestly N = 4 supersymmetric invariants and further rewriting them in N = 2 harmonic superspace. In particular, we present N = 4 superfield form of the leading term in the N = 4 SYM effective action which was known previously in N = 2 superspace formulation.

Automated summary

The study introduces a novel bi-harmonic N = 4 superspace formulation for the N = 4 supersymmetric Yang-Mills theory in four dimensions. It solves the N = 4 SYM superfield constraints using on-shell N = 2 harmonic superfields, aiding in constructing manifestly N = 4 supersymmetric invariants and rewriting them in N = 2 harmonic superspace. Additionally, the N = 4 superfield form of the leading term in the N = 4 SYM effective action, previously known in N = 2 superspace formulation, is presented.