The relation between operator and path integral covariant quantizations of the Green-Schwarz superstring

By further study of the geometry of the harmonic superspace constraints we make the relation explicit between the operator and path integral approaches to the manifestly covariant harmonic superstring. In particular we find the correct complete set of functionally independent gauge symmetries for the auxiliary variables and identify the ones corresponding to the harmonic superfield postulate in the operator formalism. Then, we deduce in a systematic way the lagrangian path integral from the well defined covariant hamiltonian formulation of the GS superstring. (orig.)