ALL CONFORMAL INVARIANT REPRESENTATIONS OF D-DIMENSIONAL ANTI-DE SITTER GROUP

All the irreducible representations of the anti-de Sitter group which are relevant for elementary particles and which can be realized as irr educible representations of the conformal group are found. It is shown that all these representations correspond to massless representations which arise from considerations of gauge invariance. The problem is s tudied for arbitrary d > 2 dimensional anti-de Sitter group.