New N=4 SYM Path Integral

Understand

Using Lorentz covariant spinor helicity formalism we reorganize the unitary scalar superfield light-cone path integral for the N=4 supersymmetric Yang-Mills theory.

• In new variables in the chiral Fourier superspace the quadratic and cubic parts of the classical action have manifest Lorentz, kinematical and dynamical supersymmetry, with the exception of terms which contribute only to the contact terms in the supergraphs with propagators shrinking to a point.
• These terms have the same structure as supergraphs with quartic light-cone vertices, which break dynamical supersymmetry.
• We present evidence that all complicated terms breaking dynamical supersymmetry have to cancel and therefore can be omitted.