Particles on AdS_{4/7} and Primary Operators on M_{2/5} Brane Worldvolumes

TL;DR

This paper establishes a correspondence between spherical harmonic modes of massless 11D fields in AdS_{4/7} compactifications and primary operators on M2 and M5 brane worldvolumes, using superconformal algebra representations.

Contribution

It provides a detailed matching of superconformal algebra representations to connect supergravity modes with brane worldvolume operators in M theory.

Findings

Identified the spectrum of spherical harmonic modes in AdS_{4/7}

Mapped these modes to primary operators on M2 and M5 branes

Enhanced understanding of AdS/CFT correspondence in M theory

Abstract

1 identify a correspondence between the various spherical harmonic modes of massless 11 dimensional fields propagating on the $AdS_{4/7}$ in an $AdS_{4/7} \times S^{7\4}$ compactification of M theory, and the corresponding operators, primary under the conformal group, on the world volume of $M_2,M_5$ branes. This is achieved by matching representations of the superconformal algebra on the two sides of the correspondence.