Three Point Functions of Chiral Primary Operators in d=3, N= 8 and d=6, N=(2,0) SCFT at Large N

TL;DR

This paper computes three-point functions of chiral primary operators in large N superconformal field theories in three and six dimensions using AdS/CFT, revealing a surprising connection to four-dimensional N=4 SYM results.

Contribution

It introduces a generalized gravitational framework for calculating three-point functions across various dimensions, unifying results for different superconformal theories.

Findings

Reproduces known three-point functions in d=4, N=4 SYM at large N.

Extends the calculation method to d=3, N=8 and d=6, N=(2,0) SCFTs.

Discovers a surprising coincidence linking different dimensional theories.

Abstract

We use the AdS/CFT correspondence to calculate three point functions of chiral primary operators at large N in d=3, N=8 and d=6, N=(2,0) superconformal field theories. These theories are related to the infrared fixed points of world-volume descriptions of N coincident M2 and M5 branes, respectively. The computation can be generalized by employing a gravitational action in arbitrary dimensions D, coupled to a (p+1)-form and appropriately compactified on AdS(D-p-2)xS(p+2). We note a surprising coincidence: this generalized model reproduces for D=10, p=3 the three point functions of d=4, N=4 SYM chiral primary operators at large N.