Correlation functions and representation bases in free N=4 Super Yang-Mills

Understand

We study exact correlation functions of N=4 SYM at zero coupling.

• It has been known that it is convenient to label local gauge invariant operators by irreducible representations of symmetric groups/Brauer algebras.
• We first review the construction of representation bases from the viewpoint of the enhanced symmetry structure of the free theory.
• We present a basis of multi-matrix models using elements of Brauer algebras, generalising our previous construction for two matrices.