Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry

TL;DR

This paper reviews the role of superconformal symmetry, specifically psu(2,2|4), in the context of AdS/CFT duality and integrability, focusing on N=4 super Yang-Mills theory and its string theory dual.

Contribution

It provides a comprehensive overview of superconformal symmetry aspects relevant to AdS/CFT and integrability, including algebra representations and superspace formulation.

Findings

Detailed analysis of psu(2,2|4) superalgebra

Insights into conformal transformations and correlation functions

Illustration of AdS5xS5 superspace structure

Abstract

Aspects of the D=4, N=4 superconformal symmetry relevant to the AdS/CFT duality and integrability are reviewed. These include the Lie superalgebra psu(2,2|4), its representations, conformal transformations and correlation functions in N=4 super Yang-Mills theory as well as an illustration of the AdS5xS5 superspace on which the dual string theory is formulated.