Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N

TL;DR

This paper computes three-point functions of chiral operators in N=4 SYM at large N, finding consistent results at both weak and strong coupling, suggesting the results are independent of the coupling constant.

Contribution

It demonstrates that three-point functions are identical at weak and strong coupling in large N limit, indicating a possible exact, coupling-independent result.

Findings

Three-point functions match at weak and strong coupling.

Results suggest coupling independence at large N.

Supports conjecture of exact, universal correlators.

Abstract

We study all three-point functions of normalized chiral operators in D=4, $\mathcal{N}=4$, U(N) supersymmetric Yang-Mills theory in the large $N$ limit. We compute them for small 't Hooft coupling $\lambda=g_{YM}^2N<<1$ using free field theory and at strong coupling $\lambda=g_{YM}^2>>1$ using the $AdS$/CFT correspondence. Surprisingly, we find the same answers in the two limits. We conjecture that at least for large $N$ the exact answers are independent of $\lambda $ .