QUANTIZATION OF HIGHER SPIN SUPERFIELDS IN THE ANTI-DE SITTER SUPERSPACE

Lagrangian quantization of the free superfield gauge theories of highe r massless superspins is performed both in anti-de Sitter and flat sup erspaces. For the models under consideration the straightforward appli cation of the BV procedure for quantization of reducible theories lead s to immense calculations. In order to avoid the difficulty, a simplif ication of this procedure in reduction coordinates is considered. The contribution to the effective action is shown to be independent of the gauge structure of the classical formulations dually equivalent to ea ch other. It is the same both for actions with finite and infinite sta ges of reducibility.