Large N Correlation Functions in Superconformal Field Theories

TL;DR

This paper computes large N correlation functions of chiral primary operators in superconformal field theories, using supersymmetric localization, confirming known results for N=4 SYM and extending to superconformal QCD.

Contribution

It applies supersymmetric localization to derive large N correlation functions in superconformal theories, providing new finite N formulas matching existing small N results.

Findings

Recovered free field results for N=4 SYM due to non-renormalization.

Derived large N correlators for superconformal QCD.

Provided finite N formulas matching small N literature results.

Abstract

We compute correlation functions of chiral primary operators in N=2 superconformal theories at large N using a construction based on supersymmetric localization recently developed by Gerchkovitz et al. We focus on N=4 SYM as well as on superconformal QCD. In the case of N=4 we recover the free field theory results as expected due to non-renormalization theorems. In the case of superconformal QCD we study the planar expansion in the large N limit. The final correlators admit a simple generalization to a finite N formula which exactly matches the various small $N$ results in the literature.