Non-supersymmetric conformal field theories from stable anti-de Sitter spaces

We describe new non-supersymmetric conformal field theories in three and four dimensions, using the CFT/AdS correspondence. In order to believe in their existence at large iV c and strong 't Hooft coupling, we explicitly check the stability of the corresponding nonsupersymmetric anti-de Sitter backgrounds. Cases of particular interest are the relevant deformations of the M = 4 SCFT in 5C/(3) and 50(5) invariant directions. It turns out that the former is a stable, and the latter an unstable non-supersymmetric type IIB background.