ON THE PROBLEM OF THE QUANTIZATION OF INFINITELY REDUCIBLE FIRST-CLASS CONSTRAINTS

A manifestly covariant scheme in a Hamiltonian form of augmenting infi nitely reducible first-class fermionic constraints (ICC1) up to irredu cible constraints is proposed for a class of theories (including D=10 superstrings and superparticles in the covariant formulation). The mod ified formulation, which is obtained after the scheme is applied to a theory including only ICC1, contains irreducible first-class constrain ts and irreducible second-class constraints separated from them. (C) 1 996 American Institute of Physics.