N=1,2 4D Superconformal Field Theories and Supergravity in $Ad{S}_5$

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 $Ad{S}_5$, we explore the general structure of the latter and discuss some issues when comparing the bulk theory to the boundary singleton theory.

12 pages, harvmac, typos corrected