On the M5 and the AdS7/CFT6 Correspondence

TL;DR

This paper derives the chiral primary operators of the six-dimensional (2,0) superconformal theory by expanding the M5-brane world volume action around an AdS_7 x S^4 background, confirming their structure with symmetry considerations.

Contribution

It provides a detailed derivation of the chiral primary operators in the (2,0) theory from M5-brane dynamics, supporting conjectures on their structure based on symmetry and matrix models.

Findings

Operators are in the symmetric traceless representation of SO(5).

Results are consistent with superconformal symmetry and matrix model predictions.

The approach confirms the structure of operators in the (2,0) theory.

Abstract

The chiral primary operators of the D=6 superconformal (2,0) theory corresponding to 14 scalars of N=4 D=7 supergravity are obtained by expanding the world volume action for the M5-brane around an AdS_7 x S^4 background. In the leading order, the operators take their values in the symmetric traceless representation of the SO(5) R-symmetry group in consistency with the early conjecture on their structure based on the superconformal symmetry and Matrix-like model arguments.