AdS/CFT Correspondence and Supersymmetry

TL;DR

This paper explores the group-theoretic framework of the AdS/CFT correspondence, extending boundary-to-bulk operator mappings and classifying key superconformal representations in six dimensions.

Contribution

It introduces a method to lift boundary intertwining operators to bulk operators and classifies positive energy unitary irreducible representations of D=6 superconformal algebras.

Findings

Extended the group-theoretic interpretation of AdS/CFT

Classified D=6 superconformal algebra representations

Provided a framework for boundary-bulk operator correspondence

Abstract

We use the group-theoretic interpretation of the AdS/CFT correspondence which we proposed earlier in order to lift intertwining operators acting between boundary conformal representations to intertwining operators acting between bulk conformal representations. Further, we present the classification of the positive energy (lowest weight) unitary irreducible representations of the D=6 superconformal algebras $osp(8^*/2N)$.