On short and long SU(2,2/4) multiplets in the AdS/CFT correspondence

TL;DR

This paper investigates the structure of SU(2,2/4) multiplets in N=4 Super Yang--Mills theory, revealing their roles as string and supergravity states within the AdS/CFT framework, and explores their decomposition under N=1 supersymmetry.

Contribution

It identifies and characterizes new short and long multiplets in the OPE of chiral operators, linking them to string and supergravity states in AdS/CFT, and examines their N=1 decomposition for further insights.

Findings

Identification of higher spin long multiplets as string states

Discovery of new short multiplets as supergravity multiparticle states

Analysis of multiplet decomposition under N=1 supersymmetry

Abstract

We analyze short and long multiplets which appear in the OPE expansion of ``chiral'' primary operators in N=4 Super Yang--Mills theory. Among them, higher spin long and new short multiplets appear, having the interpretation, in the AdS/CFT correspondence, of string states and supergravity multiparticle states respectively. We also analyze the decomposition of long multiplets under N=1 supersymmetry, as a possible tool to explore other supersymmetric deformations of IIB string on AdS_5 x S_5.