Three Point Functions for a Class of Chiral Operators in Maximally Supersymmetric CFT at Large N

TL;DR

This paper computes three-point functions of chiral operators in various maximally supersymmetric conformal field theories at large N, using a unified AdS/CFT approach across different dimensions and brane configurations.

Contribution

It introduces a unified gravitational framework to calculate three-point functions in multiple superconformal theories related to M2, M5, and D3 branes.

Findings

Explicit three-point functions for chiral operators in three superconformal theories.

A unified gravitational method applicable across different dimensions.

Results consistent with the AdS/CFT correspondence predictions.

Abstract

We present a calculation of three point functions for a class of chiral operators, including the primary ones, in d = 3, N = 8; d = 6, N = (2,0) and d = 4, N = 4 superconformal field theories at large N. These theories are related to the infrared world-volume descriptions of N coincident M2, M5 and D3 branes, respectively. The calculation is done in the framework of the AdS/CFT correspondence and can be given a unified treatment employing a gravitational action in arbitrary dimensions D, coupled to a p+1 form and suitably compactified on AdS(D-2-p) x S(2+p). The interesting cases are obtained setting (D,p) to the values (11,5), (11,2) and (10,3).