N=1,2 4D Superconformal Field Theories and Supergravity in $AdS_5$

TL;DR

This paper investigates the duality between certain N=1,2 superconformal field theories on D3 branes and their corresponding supergravity theories in AdS_5, analyzing their structures and boundary-bulk correspondence.

Contribution

It provides a detailed analysis of the structure of N=2,4 supergravities in AdS_5 dual to N=1,2 SCFTs on D3 branes, highlighting issues in boundary-bulk comparisons.

Findings

Identified structural features of supergravities in AdS_5

Discussed challenges in matching boundary singleton theories with bulk theories

Explored implications for AdS/CFT correspondence

Abstract

We consider D3 branes world-volume theories substaining $N=1,2$ superconformal field theories. Under the assumption that these theories are dual to $N=2,4$ supergravities in $AdS_5$, we explore the general structure of the latter and discuss some issues when comparing the bulk theory to the boundary singleton theory.