AdS/SCFT in Superspace

TL;DR

This paper explores the AdS/CFT correspondence within superspace, focusing on superconformal correlators and employing harmonic superspace techniques to support non-renormalisation theorems and analyze operator product expansions.

Contribution

It introduces harmonic superspace methods to study superconformal correlators in AdS/SCFT, providing new insights into Ward identities and non-renormalisation properties.

Findings

Support for non-renormalisation theorems for two- and three-point functions

Establishment of triviality for extremal and next-to-extremal correlators

Effective use of harmonic superspace to implement superconformal Ward identities

Abstract

A discussion of the AdS/CFT correspondence in IIB is given in a superspace context. The main emphasis is on the properties of SCFT correlators on the boundary which are studied using harmonic superspace techniques. These techniques provide the easiest way of implementing the superconformal Ward identities. The Ward identities, together with analyticity, can be used to give a compelling argument in support of the non-renormalisation theorems for two- and three-point functions, and to establish the triviality of extremal and next-to-extremal correlation functions. The OPE in is also briefly discussed.