On N=8 Supergravity on $AdS_5$ and N=4 Superconformal Yang-Mills theory

TL;DR

This paper explores the spectrum of IIB supergravity on $AdS_5\times S^5$ and its correspondence with N=4 superconformal Yang-Mills theory, using a superfield covariant approach to clarify the duality.

Contribution

It presents a manifest $SU(2,2/4)$ invariant formulation of the supergravity spectrum and boundary fields, enhancing understanding of the AdS/CFT correspondence in a superfield framework.

Findings

Spectrum of IIB supergravity on $AdS_5\times S^5$ characterized.

Supergravity boundary fields described by N=4 superconformal Yang-Mills.

Formulation of the AdS/CFT correspondence in a superfield covariant language.

Abstract

We discuss the spectrum of states of IIB supergravity on $AdS_5\times S^5$ in a manifest $SU(2,2/4)$ invariant setting. The boundary fields are described in terms of N=4 superconformal Yang-Mills theory and the proposed correspondence between supergravity in $AdS_5$ and superconformal invariant singleton theory at the boundary is formulated in an N=4 superfield covariant language.